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Finding the Fourth Proportional to 624.39, 861.71 and 344.69

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Solution

The fourth proportional to 624.39, 861.71 and 344.69 is: 475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.39 : 861.71 = 344.69 : x
  2. Step 2: Convert to fraction form
    624.39/861.71 = 344.69/x
  3. Step 3: Cross multiply
    624.39x = 861.71 × 344.69
  4. Step 4: Simplify right side
    624.39x = 297,016.79
  5. Step 5: Solve for x
    x = 297,016.79/624.39
  6. Step 6: Final answer
    x = 475.69

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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.