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Finding the Fourth Proportional to 494.24, 739.73 and 440.24

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Solution

The fourth proportional to 494.24, 739.73 and 440.24 is: 658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.24 : 739.73 = 440.24 : x
  2. Step 2: Convert to fraction form
    494.24/739.73 = 440.24/x
  3. Step 3: Cross multiply
    494.24x = 739.73 × 440.24
  4. Step 4: Simplify right side
    494.24x = 325,656.14
  5. Step 5: Solve for x
    x = 325,656.14/494.24
  6. Step 6: Final answer
    x = 658.91

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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.