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Nearest Tool?

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I have 2 feature classes, one being a point feature class (fire hydrants), and the other is a polygon feature class (buildings). I need to generate a table or another feature class that lists the distances from every fire hydrant point to every every building polygon (edge) within 300 feet. Is there a tool that will accomplish this? The closest tool to what I am looking for is the Near tool, however, it looks like this tool will only find the single nearest building edge for each hydrant within the specified distance.

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