All 3 Uses

correspond
in
The Truth About Forever
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So if problems arise, we'll be able to consult the lists, see which issue it corresponds to, and work out a solution from there.†
Chpt 21 *

corresponds = connects or fits together by being equivalent, proportionate, or matched
He practiced yoga, visited his grandmother in her rest home every other Sunday, and had a pen pal from Nigeria he'd been corresponding with since he was eight years old.†
Chpt 1
And then, at a predetermined time, we'll sit down and go through them, seeing what corresponds.†
Chpt 21

Definitions:

(1) (correspond as in: corresponding time period)
connect or fit together by being equivalent, proportionate, or matched

(Two things are equivalent if they have the same or very similar value, purpose, or result.)
(2) (correspond as in: corresponding by email)
communicate -- typically by writing letters or email

A corresponding secretary is an officer of an organization who is responsible for managing the organization's correspondence and keeping a record of it.
(3) (correspondence as in: a correspondence course)
done from afar

For example, a corresponding member or a correspondence course.

This sense of corresponding arose because people who lived in distant cities and could not be present for meetings, could communicate by sending written communications.
(4) (correspondent as in: foreign correspondent of the paper)
a reporter or other representative -- typically from a foreign country or with a particular expertise
(5) (meaning too rare to warrant focus)