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Finding the Fourth Proportional to 610.41, 914.24 and 428.62

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Solution

The fourth proportional to 610.41, 914.24 and 428.62 is: 641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.41 : 914.24 = 428.62 : x
  2. Step 2: Convert to fraction form
    610.41/914.24 = 428.62/x
  3. Step 3: Cross multiply
    610.41x = 914.24 × 428.62
  4. Step 4: Simplify right side
    610.41x = 391,861.55
  5. Step 5: Solve for x
    x = 391,861.55/610.41
  6. Step 6: Final answer
    x = 641.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.