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Sorting Linear Features

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I'm having a bit of trouble sorting a polyline feature class in the correct order.

Basically I have a polyline feature calss with multiple features in it that form a single line. This feature class was produced by taking a single polyline and splitting it at specified points (using the Split at Point tool). The resulting feature class has multiple polyline features in a somewhat random order. What I need to do is re-order these feature classes from a start point at one end of the line to the end of the line. I have tried the Sort tool and that works some of the time, but not all of the time as occasionally the original line winds and turns a lot and that seems to mess up the Sort tool.

Does anyone know of a simple way or tool to do this without having to get into any crazy Python scripting that manipulates the geometry? This seems like a fairly logical need, so I'm hoping there is a simple way to do it.

Thanks,

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