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Finding the Fourth Proportional to 490.89, 739.67 and 406.11

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Solution

The fourth proportional to 490.89, 739.67 and 406.11 is: 611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.89 : 739.67 = 406.11 : x
  2. Step 2: Convert to fraction form
    490.89/739.67 = 406.11/x
  3. Step 3: Cross multiply
    490.89x = 739.67 × 406.11
  4. Step 4: Simplify right side
    490.89x = 300,385.35
  5. Step 5: Solve for x
    x = 300,385.35/490.89
  6. Step 6: Final answer
    x = 611.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.