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Finding the Fourth Proportional to 439.89, 659.84 and 115.31

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Solution

The fourth proportional to 439.89, 659.84 and 115.31 is: 172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.89 : 659.84 = 115.31 : x
  2. Step 2: Convert to fraction form
    439.89/659.84 = 115.31/x
  3. Step 3: Cross multiply
    439.89x = 659.84 × 115.31
  4. Step 4: Simplify right side
    439.89x = 76,082.27
  5. Step 5: Solve for x
    x = 76,082.27/439.89
  6. Step 6: Final answer
    x = 172.96

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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.