1. to "make proper" (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.)
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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. )
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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. )
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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". )
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