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Finding the Fourth Proportional to 439.69, 659.61 and 220.33

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Solution

The fourth proportional to 439.69, 659.61 and 220.33 is: 330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.69 : 659.61 = 220.33 : x
  2. Step 2: Convert to fraction form
    439.69/659.61 = 220.33/x
  3. Step 3: Cross multiply
    439.69x = 659.61 × 220.33
  4. Step 4: Simplify right side
    439.69x = 145,331.87
  5. Step 5: Solve for x
    x = 145,331.87/439.69
  6. Step 6: Final answer
    x = 330.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.