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Finding the Fourth Proportional to 799.28, 1,198.20 and 311.96

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Solution

The fourth proportional to 799.28, 1,198.20 and 311.96 is: 467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.28 : 1,198.20 = 311.96 : x
  2. Step 2: Convert to fraction form
    799.28/1,198.20 = 311.96/x
  3. Step 3: Cross multiply
    799.28x = 1,198.20 × 311.96
  4. Step 4: Simplify right side
    799.28x = 373,790.47
  5. Step 5: Solve for x
    x = 373,790.47/799.28
  6. Step 6: Final answer
    x = 467.66

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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.