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Finding the Fourth Proportional to 439.43, 659.09 and 114.82

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Solution

The fourth proportional to 439.43, 659.09 and 114.82 is: 172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.43 : 659.09 = 114.82 : x
  2. Step 2: Convert to fraction form
    439.43/659.09 = 114.82/x
  3. Step 3: Cross multiply
    439.43x = 659.09 × 114.82
  4. Step 4: Simplify right side
    439.43x = 75,676.14
  5. Step 5: Solve for x
    x = 75,676.14/439.43
  6. Step 6: Final answer
    x = 172.21

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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.