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Finding the Fourth Proportional to 494.62, 682.41 and 396.34

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Solution

The fourth proportional to 494.62, 682.41 and 396.34 is: 546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.62 : 682.41 = 396.34 : x
  2. Step 2: Convert to fraction form
    494.62/682.41 = 396.34/x
  3. Step 3: Cross multiply
    494.62x = 682.41 × 396.34
  4. Step 4: Simplify right side
    494.62x = 270,466.38
  5. Step 5: Solve for x
    x = 270,466.38/494.62
  6. Step 6: Final answer
    x = 546.82

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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.