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Measure between dates in Dimension ( SSAS )

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I have a data warehouse with the following dimensions ( say ) 
1.Dim Time 
2.DimensionX 

and a Fact table 

The sample design as follows 
DimensionX ( Key, Name, Start Date , End Date ) - This is related to Time Dimension.
DimTime ( Key , FullDate , Year,Month etc ) 

FactTable:

Timekey ( Refers Time Dmension ) 
Measure1 ( Decimal ) 


I have to find out the Measure1 which happened between start and end date of the DimensionX . 

Could you please let me know how to proceed with the same ?

Regards, Savio


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