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Finding the Fourth Proportional to 624.53, 861.84 and 344.75

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Solution

The fourth proportional to 624.53, 861.84 and 344.75 is: 475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.53 : 861.84 = 344.75 : x
  2. Step 2: Convert to fraction form
    624.53/861.84 = 344.75/x
  3. Step 3: Cross multiply
    624.53x = 861.84 × 344.75
  4. Step 4: Simplify right side
    624.53x = 297,117.62
  5. Step 5: Solve for x
    x = 297,117.62/624.53
  6. Step 6: Final answer
    x = 475.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.