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Finding the Fourth Proportional to 624.24, 861.40 and 344.47

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Solution

The fourth proportional to 624.24, 861.40 and 344.47 is: 475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.24 : 861.40 = 344.47 : x
  2. Step 2: Convert to fraction form
    624.24/861.40 = 344.47/x
  3. Step 3: Cross multiply
    624.24x = 861.40 × 344.47
  4. Step 4: Simplify right side
    624.24x = 296,726.35
  5. Step 5: Solve for x
    x = 296,726.35/624.24
  6. Step 6: Final answer
    x = 475.34

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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.