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Finding the Fourth Proportional to 542.10, 813.17 and 451.44

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Solution

The fourth proportional to 542.10, 813.17 and 451.44 is: 677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.10 : 813.17 = 451.44 : x
  2. Step 2: Convert to fraction form
    542.10/813.17 = 451.44/x
  3. Step 3: Cross multiply
    542.10x = 813.17 × 451.44
  4. Step 4: Simplify right side
    542.10x = 367,098.59
  5. Step 5: Solve for x
    x = 367,098.59/542.10
  6. Step 6: Final answer
    x = 677.18

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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.