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Finding the Fourth Proportional to 439.09, 658.20 and 178.99

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Solution

The fourth proportional to 439.09, 658.20 and 178.99 is: 268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.09 : 658.20 = 178.99 : x
  2. Step 2: Convert to fraction form
    439.09/658.20 = 178.99/x
  3. Step 3: Cross multiply
    439.09x = 658.20 × 178.99
  4. Step 4: Simplify right side
    439.09x = 117,811.22
  5. Step 5: Solve for x
    x = 117,811.22/439.09
  6. Step 6: Final answer
    x = 268.31

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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.