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Finding the Fourth Proportional to 466.38, 644.49 and 342.18

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Solution

The fourth proportional to 466.38, 644.49 and 342.18 is: 472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.38 : 644.49 = 342.18 : x
  2. Step 2: Convert to fraction form
    466.38/644.49 = 342.18/x
  3. Step 3: Cross multiply
    466.38x = 644.49 × 342.18
  4. Step 4: Simplify right side
    466.38x = 220,531.59
  5. Step 5: Solve for x
    x = 220,531.59/466.38
  6. Step 6: Final answer
    x = 472.86

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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.