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Finding the Fourth Proportional to 614.92, 850.23 and 537.10

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Solution

The fourth proportional to 614.92, 850.23 and 537.10 is: 742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.92 : 850.23 = 537.10 : x
  2. Step 2: Convert to fraction form
    614.92/850.23 = 537.10/x
  3. Step 3: Cross multiply
    614.92x = 850.23 × 537.10
  4. Step 4: Simplify right side
    614.92x = 456,658.53
  5. Step 5: Solve for x
    x = 456,658.53/614.92
  6. Step 6: Final answer
    x = 742.63

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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.