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Finding the Fourth Proportional to 494.55, 742.02 and 311.91

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Solution

The fourth proportional to 494.55, 742.02 and 311.91 is: 467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.55 : 742.02 = 311.91 : x
  2. Step 2: Convert to fraction form
    494.55/742.02 = 311.91/x
  3. Step 3: Cross multiply
    494.55x = 742.02 × 311.91
  4. Step 4: Simplify right side
    494.55x = 231,443.46
  5. Step 5: Solve for x
    x = 231,443.46/494.55
  6. Step 6: Final answer
    x = 467.99

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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.