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Finding the Fourth Proportional to 648.31, 971.97 and 215.23

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Solution

The fourth proportional to 648.31, 971.97 and 215.23 is: 322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.31 : 971.97 = 215.23 : x
  2. Step 2: Convert to fraction form
    648.31/971.97 = 215.23/x
  3. Step 3: Cross multiply
    648.31x = 971.97 × 215.23
  4. Step 4: Simplify right side
    648.31x = 209,196.03
  5. Step 5: Solve for x
    x = 209,196.03/648.31
  6. Step 6: Final answer
    x = 322.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.