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Finding the Fourth Proportional to 439.65, 659.28 and 179.47

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Solution

The fourth proportional to 439.65, 659.28 and 179.47 is: 269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.65 : 659.28 = 179.47 : x
  2. Step 2: Convert to fraction form
    439.65/659.28 = 179.47/x
  3. Step 3: Cross multiply
    439.65x = 659.28 × 179.47
  4. Step 4: Simplify right side
    439.65x = 118,320.98
  5. Step 5: Solve for x
    x = 118,320.98/439.65
  6. Step 6: Final answer
    x = 269.13

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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.