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Finding the Fourth Proportional to 814.71, 1,221.83 and 229.67

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Solution

The fourth proportional to 814.71, 1,221.83 and 229.67 is: 344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.71 : 1,221.83 = 229.67 : x
  2. Step 2: Convert to fraction form
    814.71/1,221.83 = 229.67/x
  3. Step 3: Cross multiply
    814.71x = 1,221.83 × 229.67
  4. Step 4: Simplify right side
    814.71x = 280,610.44
  5. Step 5: Solve for x
    x = 280,610.44/814.71
  6. Step 6: Final answer
    x = 344.43

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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.