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Finding the Fourth Proportional to 648.24, 972.84 and 237.48

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Solution

The fourth proportional to 648.24, 972.84 and 237.48 is: 356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.24 : 972.84 = 237.48 : x
  2. Step 2: Convert to fraction form
    648.24/972.84 = 237.48/x
  3. Step 3: Cross multiply
    648.24x = 972.84 × 237.48
  4. Step 4: Simplify right side
    648.24x = 231,027.29
  5. Step 5: Solve for x
    x = 231,027.29/648.24
  6. Step 6: Final answer
    x = 356.39

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Why These Related Problems?

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