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Finding the Fourth Proportional to 624.26, 861.75 and 428.78

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Solution

The fourth proportional to 624.26, 861.75 and 428.78 is: 591.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.26 : 861.75 = 428.78 : x
  2. Step 2: Convert to fraction form
    624.26/861.75 = 428.78/x
  3. Step 3: Cross multiply
    624.26x = 861.75 × 428.78
  4. Step 4: Simplify right side
    624.26x = 369,501.17
  5. Step 5: Solve for x
    x = 369,501.17/624.26
  6. Step 6: Final answer
    x = 591.90

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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.