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Finding the Fourth Proportional to 624.15, 861.57 and 428.54

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Solution

The fourth proportional to 624.15, 861.57 and 428.54 is: 591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.15 : 861.57 = 428.54 : x
  2. Step 2: Convert to fraction form
    624.15/861.57 = 428.54/x
  3. Step 3: Cross multiply
    624.15x = 861.57 × 428.54
  4. Step 4: Simplify right side
    624.15x = 369,212.90
  5. Step 5: Solve for x
    x = 369,212.90/624.15
  6. Step 6: Final answer
    x = 591.55

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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.