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Finding the Fourth Proportional to 498.80, 749.82 and 447.68

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Solution

The fourth proportional to 498.80, 749.82 and 447.68 is: 672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.80 : 749.82 = 447.68 : x
  2. Step 2: Convert to fraction form
    498.80/749.82 = 447.68/x
  3. Step 3: Cross multiply
    498.80x = 749.82 × 447.68
  4. Step 4: Simplify right side
    498.80x = 335,679.42
  5. Step 5: Solve for x
    x = 335,679.42/498.80
  6. Step 6: Final answer
    x = 672.97

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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.