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Finding the Fourth Proportional to 546.48, 819.14 and 410.15

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Solution

The fourth proportional to 546.48, 819.14 and 410.15 is: 614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.48 : 819.14 = 410.15 : x
  2. Step 2: Convert to fraction form
    546.48/819.14 = 410.15/x
  3. Step 3: Cross multiply
    546.48x = 819.14 × 410.15
  4. Step 4: Simplify right side
    546.48x = 335,970.27
  5. Step 5: Solve for x
    x = 335,970.27/546.48
  6. Step 6: Final answer
    x = 614.79

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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.