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Finding the Fourth Proportional to 462.16, 638 and 344

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Solution

The fourth proportional to 462.16, 638 and 344 is: 474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.16 : 638 = 344 : x
  2. Step 2: Convert to fraction form
    462.16/638 = 344/x
  3. Step 3: Cross multiply
    462.16x = 638 × 344
  4. Step 4: Simplify right side
    462.16x = 219,472
  5. Step 5: Solve for x
    x = 219,472/462.16
  6. Step 6: Final answer
    x = 474.88

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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.