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Finding the Fourth Proportional to 461.13, 691.78 and 217.66

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Solution

The fourth proportional to 461.13, 691.78 and 217.66 is: 326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.13 : 691.78 = 217.66 : x
  2. Step 2: Convert to fraction form
    461.13/691.78 = 217.66/x
  3. Step 3: Cross multiply
    461.13x = 691.78 × 217.66
  4. Step 4: Simplify right side
    461.13x = 150,572.83
  5. Step 5: Solve for x
    x = 150,572.83/461.13
  6. Step 6: Final answer
    x = 326.53

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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.