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Finding the Fourth Proportional to 494.48, 682.11 and 326.10

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Solution

The fourth proportional to 494.48, 682.11 and 326.10 is: 449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.48 : 682.11 = 326.10 : x
  2. Step 2: Convert to fraction form
    494.48/682.11 = 326.10/x
  3. Step 3: Cross multiply
    494.48x = 682.11 × 326.10
  4. Step 4: Simplify right side
    494.48x = 222,431.68
  5. Step 5: Solve for x
    x = 222,431.68/494.48
  6. Step 6: Final answer
    x = 449.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.