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Finding the Fourth Proportional to 546.60, 819.96 and 409.68

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Solution

The fourth proportional to 546.60, 819.96 and 409.68 is: 614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.60 : 819.96 = 409.68 : x
  2. Step 2: Convert to fraction form
    546.60/819.96 = 409.68/x
  3. Step 3: Cross multiply
    546.60x = 819.96 × 409.68
  4. Step 4: Simplify right side
    546.60x = 335,921.21
  5. Step 5: Solve for x
    x = 335,921.21/546.60
  6. Step 6: Final answer
    x = 614.56

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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.