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Finding the Fourth Proportional to 460.71, 691.25 and 217.44

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Solution

The fourth proportional to 460.71, 691.25 and 217.44 is: 326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.71 : 691.25 = 217.44 : x
  2. Step 2: Convert to fraction form
    460.71/691.25 = 217.44/x
  3. Step 3: Cross multiply
    460.71x = 691.25 × 217.44
  4. Step 4: Simplify right side
    460.71x = 150,304.31
  5. Step 5: Solve for x
    x = 150,304.31/460.71
  6. Step 6: Final answer
    x = 326.24

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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.