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Finding the Fourth Proportional to 546.49, 819.20 and 272.17

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Solution

The fourth proportional to 546.49, 819.20 and 272.17 is: 407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.49 : 819.20 = 272.17 : x
  2. Step 2: Convert to fraction form
    546.49/819.20 = 272.17/x
  3. Step 3: Cross multiply
    546.49x = 819.20 × 272.17
  4. Step 4: Simplify right side
    546.49x = 222,960.30
  5. Step 5: Solve for x
    x = 222,960.30/546.49
  6. Step 6: Final answer
    x = 407.99

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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.