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Finding the Fourth Proportional to 494.28, 741.89 and 311.79

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Solution

The fourth proportional to 494.28, 741.89 and 311.79 is: 467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.28 : 741.89 = 311.79 : x
  2. Step 2: Convert to fraction form
    494.28/741.89 = 311.79/x
  3. Step 3: Cross multiply
    494.28x = 741.89 × 311.79
  4. Step 4: Simplify right side
    494.28x = 231,313.88
  5. Step 5: Solve for x
    x = 231,313.88/494.28
  6. Step 6: Final answer
    x = 467.98

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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.