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Finding the Fourth Proportional to 624.72, 862.17 and 344.97

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Solution

The fourth proportional to 624.72, 862.17 and 344.97 is: 476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.72 : 862.17 = 344.97 : x
  2. Step 2: Convert to fraction form
    624.72/862.17 = 344.97/x
  3. Step 3: Cross multiply
    624.72x = 862.17 × 344.97
  4. Step 4: Simplify right side
    624.72x = 297,422.78
  5. Step 5: Solve for x
    x = 297,422.78/624.72
  6. Step 6: Final answer
    x = 476.09

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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.