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Finding the Fourth Proportional to 545.96, 819.20 and 271.72

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Solution

The fourth proportional to 545.96, 819.20 and 271.72 is: 407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.96 : 819.20 = 271.72 : x
  2. Step 2: Convert to fraction form
    545.96/819.20 = 271.72/x
  3. Step 3: Cross multiply
    545.96x = 819.20 × 271.72
  4. Step 4: Simplify right side
    545.96x = 222,593.02
  5. Step 5: Solve for x
    x = 222,593.02/545.96
  6. Step 6: Final answer
    x = 407.71

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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.