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Finding the Fourth Proportional to 439.78, 658.45 and 222.29

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Solution

The fourth proportional to 439.78, 658.45 and 222.29 is: 332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.78 : 658.45 = 222.29 : x
  2. Step 2: Convert to fraction form
    439.78/658.45 = 222.29/x
  3. Step 3: Cross multiply
    439.78x = 658.45 × 222.29
  4. Step 4: Simplify right side
    439.78x = 146,366.29
  5. Step 5: Solve for x
    x = 146,366.29/439.78
  6. Step 6: Final answer
    x = 332.82

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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.