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Finding the Fourth Proportional to 648.06, 972.25 and 215.22

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Solution

The fourth proportional to 648.06, 972.25 and 215.22 is: 322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.06 : 972.25 = 215.22 : x
  2. Step 2: Convert to fraction form
    648.06/972.25 = 215.22/x
  3. Step 3: Cross multiply
    648.06x = 972.25 × 215.22
  4. Step 4: Simplify right side
    648.06x = 209,247.65
  5. Step 5: Solve for x
    x = 209,247.65/648.06
  6. Step 6: Final answer
    x = 322.88

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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.