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Finding the Fourth Proportional to 461.28, 691.96 and 217.84

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Solution

The fourth proportional to 461.28, 691.96 and 217.84 is: 326.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.28 : 691.96 = 217.84 : x
  2. Step 2: Convert to fraction form
    461.28/691.96 = 217.84/x
  3. Step 3: Cross multiply
    461.28x = 691.96 × 217.84
  4. Step 4: Simplify right side
    461.28x = 150,736.57
  5. Step 5: Solve for x
    x = 150,736.57/461.28
  6. Step 6: Final answer
    x = 326.78

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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.