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Finding the Fourth Proportional to 634.27, 950.14 and 496.67

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Solution

The fourth proportional to 634.27, 950.14 and 496.67 is: 744.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.27 : 950.14 = 496.67 : x
  2. Step 2: Convert to fraction form
    634.27/950.14 = 496.67/x
  3. Step 3: Cross multiply
    634.27x = 950.14 × 496.67
  4. Step 4: Simplify right side
    634.27x = 471,906.61
  5. Step 5: Solve for x
    x = 471,906.61/634.27
  6. Step 6: Final answer
    x = 744.02

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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.