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Finding the Fourth Proportional to 461, 691.14 and 217.46

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Solution

The fourth proportional to 461, 691.14 and 217.46 is: 326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    461 : 691.14 = 217.46 : x
  2. Step 2: Convert to fraction form
    461/691.14 = 217.46/x
  3. Step 3: Cross multiply
    461x = 691.14 × 217.46
  4. Step 4: Simplify right side
    461x = 150,295.30
  5. Step 5: Solve for x
    x = 150,295.30/461
  6. Step 6: Final answer
    x = 326.02

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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.