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Finding the Fourth Proportional to 490.60, 736.31 and 439.57

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Solution

The fourth proportional to 490.60, 736.31 and 439.57 is: 659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.60 : 736.31 = 439.57 : x
  2. Step 2: Convert to fraction form
    490.60/736.31 = 439.57/x
  3. Step 3: Cross multiply
    490.60x = 736.31 × 439.57
  4. Step 4: Simplify right side
    490.60x = 323,657.59
  5. Step 5: Solve for x
    x = 323,657.59/490.60
  6. Step 6: Final answer
    x = 659.72

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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.