All 3 Uses of

approach

in

Fahrenheit 451

Approaching from the rear, Montag entered the men's washroom.
p. 119.3

approaching = arriving

Montag approached from the rear, creeping through a thick night-moistened scent of daffodils and roses and wet grass.
p. 123.4 *

approached = came near

But the fire was there and he approached warily, from a long way off.
p. 139.1

approached = moved nearer

Definitions:

(1) (approach as in: approached the city)
to get closer to (near in space, time, quantity, or quality)
(2) (approach as in: use the best approach)
a way of doing something; or a route that leads to a particular place
(3) (approach as in: approached her with the proposal)
to begin communication with someone about something -- often a proposal or a delicate topic
(4) (meaning too rare to warrant focus)
More rarely (and typically only in classic literature), the phrase nearest approach to as used in "her nearest approach to an apology" or "her nearest approach to a smile" typically means that "something is as close to something else as it ever gets." "As near an approach to" can have a similar meaning.