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Finding the Fourth Proportional to 439.34, 659.09 and 165.47

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Solution

The fourth proportional to 439.34, 659.09 and 165.47 is: 248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.34 : 659.09 = 165.47 : x
  2. Step 2: Convert to fraction form
    439.34/659.09 = 165.47/x
  3. Step 3: Cross multiply
    439.34x = 659.09 × 165.47
  4. Step 4: Simplify right side
    439.34x = 109,058.79
  5. Step 5: Solve for x
    x = 109,058.79/439.34
  6. Step 6: Final answer
    x = 248.23

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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.