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Finding the Fourth Proportional to 490.56, 737.97 and 408.54

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Solution

The fourth proportional to 490.56, 737.97 and 408.54 is: 614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.56 : 737.97 = 408.54 : x
  2. Step 2: Convert to fraction form
    490.56/737.97 = 408.54/x
  3. Step 3: Cross multiply
    490.56x = 737.97 × 408.54
  4. Step 4: Simplify right side
    490.56x = 301,490.26
  5. Step 5: Solve for x
    x = 301,490.26/490.56
  6. Step 6: Final answer
    x = 614.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.