Does Position Of Cube Dimension Matter While Adding it as Measure

I've created a cube on the Adventure Works Database. And when tried to process the Cube i get error

Errors in the OLAP storage engine: The attribute key cannot be found when processing: Table: 'dbo_DimProduct', Column: 'ProductKey', Value: '1'. The attribute is 'Product Key'. Errors in the OLAP storage engine: The attribute key was converted to an unknown member because the attribute key was not found. Attribute Product Key of Dimension: Dim Product from Database: Analysis Services Project, Cube: Adventure Works DW, Measure Group: Dim Product, Partition: Dim Product, Record: 1. Errors in the OLAP storage engine: The process operation ended because the number of errors encountered during processing reached the defined limit of allowable errors for the operation. Errors in the OLAP storage engine: An error occurred while processing the 'Dim Product' partition of the 'Dim Product' measure group for the 'Adventure Works DW' cube from the Analysis Services Project database.

This is faced When Dimproduct Dimension was added first and later Dimtime Dimension.

I delete Dim Product Database Dimension and have Added it again as both Measure and Cube Dimension and it process succesfully.

Only Difference i've Found is now Dimproduct is listed last in cube dimensions.

Question - Does position of Cube Dimension matters when adding its a Measure?

And what is causing this error?

HS