(The idea is bringing from a muddled state into an orderly state. Not very common and mostly in the context of clothing or your hair.)
2.
to direct at, to point at
("richten auf+Acc" - pointing something at someone or something. Mostly used in a figurative sense for one's attention, but it also works for a gun, for example. )
3.
to follow, to adhere to, to depend
("sich+Acc richten nach" - Works for a person following some sort of rules but also for circumstances that depend on other circumstances. The core theme here is a sense of direction. )
4.
to judge, to pass judgement
(Only in the "official" sense of passing a judgement, and it can also involve carrying out the punishment. The core idea here is "set right". )