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Finding the Fourth Proportional to 461.10, 691.65 and 363.90

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Solution

The fourth proportional to 461.10, 691.65 and 363.90 is: 545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.10 : 691.65 = 363.90 : x
  2. Step 2: Convert to fraction form
    461.10/691.65 = 363.90/x
  3. Step 3: Cross multiply
    461.10x = 691.65 × 363.90
  4. Step 4: Simplify right side
    461.10x = 251,691.44
  5. Step 5: Solve for x
    x = 251,691.44/461.10
  6. Step 6: Final answer
    x = 545.85

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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.