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Finding the Fourth Proportional to 439.61, 659.41 and 114.97

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Solution

The fourth proportional to 439.61, 659.41 and 114.97 is: 172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.61 : 659.41 = 114.97 : x
  2. Step 2: Convert to fraction form
    439.61/659.41 = 114.97/x
  3. Step 3: Cross multiply
    439.61x = 659.41 × 114.97
  4. Step 4: Simplify right side
    439.61x = 75,812.37
  5. Step 5: Solve for x
    x = 75,812.37/439.61
  6. Step 6: Final answer
    x = 172.45

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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.