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Finding the Fourth Proportional to 552.31, 762.15 and 331.15

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Solution

The fourth proportional to 552.31, 762.15 and 331.15 is: 456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.31 : 762.15 = 331.15 : x
  2. Step 2: Convert to fraction form
    552.31/762.15 = 331.15/x
  3. Step 3: Cross multiply
    552.31x = 762.15 × 331.15
  4. Step 4: Simplify right side
    552.31x = 252,385.97
  5. Step 5: Solve for x
    x = 252,385.97/552.31
  6. Step 6: Final answer
    x = 456.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.