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Finding the Fourth Proportional to 494.86, 742.29 and 311.53

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Solution

The fourth proportional to 494.86, 742.29 and 311.53 is: 467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.86 : 742.29 = 311.53 : x
  2. Step 2: Convert to fraction form
    494.86/742.29 = 311.53/x
  3. Step 3: Cross multiply
    494.86x = 742.29 × 311.53
  4. Step 4: Simplify right side
    494.86x = 231,243.75
  5. Step 5: Solve for x
    x = 231,243.75/494.86
  6. Step 6: Final answer
    x = 467.29

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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.