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Finding the Fourth Proportional to 624.50, 861.85 and 344.73

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Solution

The fourth proportional to 624.50, 861.85 and 344.73 is: 475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.50 : 861.85 = 344.73 : x
  2. Step 2: Convert to fraction form
    624.50/861.85 = 344.73/x
  3. Step 3: Cross multiply
    624.50x = 861.85 × 344.73
  4. Step 4: Simplify right side
    624.50x = 297,106.84
  5. Step 5: Solve for x
    x = 297,106.84/624.50
  6. Step 6: Final answer
    x = 475.75

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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.