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Finding the Fourth Proportional to 493.43, 739.20 and 441.86

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Solution

The fourth proportional to 493.43, 739.20 and 441.86 is: 661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.43 : 739.20 = 441.86 : x
  2. Step 2: Convert to fraction form
    493.43/739.20 = 441.86/x
  3. Step 3: Cross multiply
    493.43x = 739.20 × 441.86
  4. Step 4: Simplify right side
    493.43x = 326,622.91
  5. Step 5: Solve for x
    x = 326,622.91/493.43
  6. Step 6: Final answer
    x = 661.94

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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.