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Finding the Fourth Proportional to 624.48, 861.77 and 344.71

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Solution

The fourth proportional to 624.48, 861.77 and 344.71 is: 475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.48 : 861.77 = 344.71 : x
  2. Step 2: Convert to fraction form
    624.48/861.77 = 344.71/x
  3. Step 3: Cross multiply
    624.48x = 861.77 × 344.71
  4. Step 4: Simplify right side
    624.48x = 297,060.74
  5. Step 5: Solve for x
    x = 297,060.74/624.48
  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.