Crossword Genius

Back final runner clearing the last at Perth (7)

Ross

I believe the answer is:

endorse

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'back' is the definition.
(back can mean to support or endorse)

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for endorse that I've seen before include "Approve - support" , "Favour" , "Put penalty points on (a driving licence)" , "Add one's authority to" , "Give public approval of (something)" .)

I've seen this clue in The Independent.
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