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Finding the Fourth Proportional to 494.14, 739.91 and 415.86

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Solution

The fourth proportional to 494.14, 739.91 and 415.86 is: 622.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.14 : 739.91 = 415.86 : x
  2. Step 2: Convert to fraction form
    494.14/739.91 = 415.86/x
  3. Step 3: Cross multiply
    494.14x = 739.91 × 415.86
  4. Step 4: Simplify right side
    494.14x = 307,698.97
  5. Step 5: Solve for x
    x = 307,698.97/494.14
  6. Step 6: Final answer
    x = 622.70

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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.