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Finding the Fourth Proportional to 494.67, 682.75 and 329.12

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Solution

The fourth proportional to 494.67, 682.75 and 329.12 is: 454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.67 : 682.75 = 329.12 : x
  2. Step 2: Convert to fraction form
    494.67/682.75 = 329.12/x
  3. Step 3: Cross multiply
    494.67x = 682.75 × 329.12
  4. Step 4: Simplify right side
    494.67x = 224,706.68
  5. Step 5: Solve for x
    x = 224,706.68/494.67
  6. Step 6: Final answer
    x = 454.26

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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.