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Finding the Fourth Proportional to 439.87, 659.85 and 196.57

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Solution

The fourth proportional to 439.87, 659.85 and 196.57 is: 294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.87 : 659.85 = 196.57 : x
  2. Step 2: Convert to fraction form
    439.87/659.85 = 196.57/x
  3. Step 3: Cross multiply
    439.87x = 659.85 × 196.57
  4. Step 4: Simplify right side
    439.87x = 129,706.71
  5. Step 5: Solve for x
    x = 129,706.71/439.87
  6. Step 6: Final answer
    x = 294.88

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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.