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Finding the Fourth Proportional to 439.09, 659.04 and 222.82

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Solution

The fourth proportional to 439.09, 659.04 and 222.82 is: 334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.09 : 659.04 = 222.82 : x
  2. Step 2: Convert to fraction form
    439.09/659.04 = 222.82/x
  3. Step 3: Cross multiply
    439.09x = 659.04 × 222.82
  4. Step 4: Simplify right side
    439.09x = 146,847.29
  5. Step 5: Solve for x
    x = 146,847.29/439.09
  6. Step 6: Final answer
    x = 334.44

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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.