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Finding the Fourth Proportional to 546.64, 819.25 and 254.11

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Solution

The fourth proportional to 546.64, 819.25 and 254.11 is: 380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.64 : 819.25 = 254.11 : x
  2. Step 2: Convert to fraction form
    546.64/819.25 = 254.11/x
  3. Step 3: Cross multiply
    546.64x = 819.25 × 254.11
  4. Step 4: Simplify right side
    546.64x = 208,179.62
  5. Step 5: Solve for x
    x = 208,179.62/546.64
  6. Step 6: Final answer
    x = 380.83

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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.