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Finding the Fourth Proportional to 439.46, 659.09 and 165.54

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Solution

The fourth proportional to 439.46, 659.09 and 165.54 is: 248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.46 : 659.09 = 165.54 : x
  2. Step 2: Convert to fraction form
    439.46/659.09 = 165.54/x
  3. Step 3: Cross multiply
    439.46x = 659.09 × 165.54
  4. Step 4: Simplify right side
    439.46x = 109,105.76
  5. Step 5: Solve for x
    x = 109,105.76/439.46
  6. Step 6: Final answer
    x = 248.28

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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.