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Finding the Fourth Proportional to 439.56, 659.64 and 223.29

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Solution

The fourth proportional to 439.56, 659.64 and 223.29 is: 335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.56 : 659.64 = 223.29 : x
  2. Step 2: Convert to fraction form
    439.56/659.64 = 223.29/x
  3. Step 3: Cross multiply
    439.56x = 659.64 × 223.29
  4. Step 4: Simplify right side
    439.56x = 147,291.02
  5. Step 5: Solve for x
    x = 147,291.02/439.56
  6. Step 6: Final answer
    x = 335.09

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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.