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Finding the Fourth Proportional to 460.38, 636.18 and 349.66

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Solution

The fourth proportional to 460.38, 636.18 and 349.66 is: 483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.38 : 636.18 = 349.66 : x
  2. Step 2: Convert to fraction form
    460.38/636.18 = 349.66/x
  3. Step 3: Cross multiply
    460.38x = 636.18 × 349.66
  4. Step 4: Simplify right side
    460.38x = 222,446.70
  5. Step 5: Solve for x
    x = 222,446.70/460.38
  6. Step 6: Final answer
    x = 483.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.