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Finding the Fourth Proportional to 546.26, 819.66 and 272.39

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Solution

The fourth proportional to 546.26, 819.66 and 272.39 is: 408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.26 : 819.66 = 272.39 : x
  2. Step 2: Convert to fraction form
    546.26/819.66 = 272.39/x
  3. Step 3: Cross multiply
    546.26x = 819.66 × 272.39
  4. Step 4: Simplify right side
    546.26x = 223,270.26
  5. Step 5: Solve for x
    x = 223,270.26/546.26
  6. Step 6: Final answer
    x = 408.72

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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.