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Finding the Fourth Proportional to 494.97, 742.70 and 248.20

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Solution

The fourth proportional to 494.97, 742.70 and 248.20 is: 372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.97 : 742.70 = 248.20 : x
  2. Step 2: Convert to fraction form
    494.97/742.70 = 248.20/x
  3. Step 3: Cross multiply
    494.97x = 742.70 × 248.20
  4. Step 4: Simplify right side
    494.97x = 184,338.14
  5. Step 5: Solve for x
    x = 184,338.14/494.97
  6. Step 6: Final answer
    x = 372.42

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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.