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Finding the Fourth Proportional to 814.02, 1,221.24 and 229.02

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Solution

The fourth proportional to 814.02, 1,221.24 and 229.02 is: 343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.02 : 1,221.24 = 229.02 : x
  2. Step 2: Convert to fraction form
    814.02/1,221.24 = 229.02/x
  3. Step 3: Cross multiply
    814.02x = 1,221.24 × 229.02
  4. Step 4: Simplify right side
    814.02x = 279,691.44
  5. Step 5: Solve for x
    x = 279,691.44/814.02
  6. Step 6: Final answer
    x = 343.59

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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.