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Finding the Fourth Proportional to 546.42, 819.59 and 363.92

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Solution

The fourth proportional to 546.42, 819.59 and 363.92 is: 545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.42 : 819.59 = 363.92 : x
  2. Step 2: Convert to fraction form
    546.42/819.59 = 363.92/x
  3. Step 3: Cross multiply
    546.42x = 819.59 × 363.92
  4. Step 4: Simplify right side
    546.42x = 298,262.23
  5. Step 5: Solve for x
    x = 298,262.23/546.42
  6. Step 6: Final answer
    x = 545.85

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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.