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Finding the Fourth Proportional to 460.75, 691.14 and 217.10

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Solution

The fourth proportional to 460.75, 691.14 and 217.10 is: 325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.75 : 691.14 = 217.10 : x
  2. Step 2: Convert to fraction form
    460.75/691.14 = 217.10/x
  3. Step 3: Cross multiply
    460.75x = 691.14 × 217.10
  4. Step 4: Simplify right side
    460.75x = 150,046.49
  5. Step 5: Solve for x
    x = 150,046.49/460.75
  6. Step 6: Final answer
    x = 325.66

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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.