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Finding the Fourth Proportional to 461.29, 691.91 and 410.39

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Solution

The fourth proportional to 461.29, 691.91 and 410.39 is: 615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.29 : 691.91 = 410.39 : x
  2. Step 2: Convert to fraction form
    461.29/691.91 = 410.39/x
  3. Step 3: Cross multiply
    461.29x = 691.91 × 410.39
  4. Step 4: Simplify right side
    461.29x = 283,950.89
  5. Step 5: Solve for x
    x = 283,950.89/461.29
  6. Step 6: Final answer
    x = 615.56

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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.