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Finding the Fourth Proportional to 552.16, 761.84 and 331.12

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Solution

The fourth proportional to 552.16, 761.84 and 331.12 is: 456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.16 : 761.84 = 331.12 : x
  2. Step 2: Convert to fraction form
    552.16/761.84 = 331.12/x
  3. Step 3: Cross multiply
    552.16x = 761.84 × 331.12
  4. Step 4: Simplify right side
    552.16x = 252,260.46
  5. Step 5: Solve for x
    x = 252,260.46/552.16
  6. Step 6: Final answer
    x = 456.86

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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.