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Finding the Fourth Proportional to 496.92, 746.02 and 314.68

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Solution

The fourth proportional to 496.92, 746.02 and 314.68 is: 472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.92 : 746.02 = 314.68 : x
  2. Step 2: Convert to fraction form
    496.92/746.02 = 314.68/x
  3. Step 3: Cross multiply
    496.92x = 746.02 × 314.68
  4. Step 4: Simplify right side
    496.92x = 234,757.57
  5. Step 5: Solve for x
    x = 234,757.57/496.92
  6. Step 6: Final answer
    x = 472.43

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Why These Related Problems?

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