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Finding the Fourth Proportional to 624.46, 861.76 and 344.71

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Solution

The fourth proportional to 624.46, 861.76 and 344.71 is: 475.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.46 : 861.76 = 344.71 : x
  2. Step 2: Convert to fraction form
    624.46/861.76 = 344.71/x
  3. Step 3: Cross multiply
    624.46x = 861.76 × 344.71
  4. Step 4: Simplify right side
    624.46x = 297,062.19
  5. Step 5: Solve for x
    x = 297,062.19/624.46
  6. Step 6: Final answer
    x = 475.71

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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.