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Finding the Fourth Proportional to 498.96, 747.98 and 422.41

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Solution

The fourth proportional to 498.96, 747.98 and 422.41 is: 633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.96 : 747.98 = 422.41 : x
  2. Step 2: Convert to fraction form
    498.96/747.98 = 422.41/x
  3. Step 3: Cross multiply
    498.96x = 747.98 × 422.41
  4. Step 4: Simplify right side
    498.96x = 315,952.12
  5. Step 5: Solve for x
    x = 315,952.12/498.96
  6. Step 6: Final answer
    x = 633.23

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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.