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Finding the Fourth Proportional to 460.82, 691.33 and 217.62

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Solution

The fourth proportional to 460.82, 691.33 and 217.62 is: 326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.82 : 691.33 = 217.62 : x
  2. Step 2: Convert to fraction form
    460.82/691.33 = 217.62/x
  3. Step 3: Cross multiply
    460.82x = 691.33 × 217.62
  4. Step 4: Simplify right side
    460.82x = 150,442.69
  5. Step 5: Solve for x
    x = 150,442.69/460.82
  6. Step 6: Final answer
    x = 326.47

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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.