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Finding the Fourth Proportional to 546.20, 819.28 and 338.44

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Solution

The fourth proportional to 546.20, 819.28 and 338.44 is: 507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.20 : 819.28 = 338.44 : x
  2. Step 2: Convert to fraction form
    546.20/819.28 = 338.44/x
  3. Step 3: Cross multiply
    546.20x = 819.28 × 338.44
  4. Step 4: Simplify right side
    546.20x = 277,277.12
  5. Step 5: Solve for x
    x = 277,277.12/546.20
  6. Step 6: Final answer
    x = 507.65

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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.