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Finding the Fourth Proportional to 494.57, 742.16 and 170.17

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Solution

The fourth proportional to 494.57, 742.16 and 170.17 is: 255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.57 : 742.16 = 170.17 : x
  2. Step 2: Convert to fraction form
    494.57/742.16 = 170.17/x
  3. Step 3: Cross multiply
    494.57x = 742.16 × 170.17
  4. Step 4: Simplify right side
    494.57x = 126,291.94
  5. Step 5: Solve for x
    x = 126,291.94/494.57
  6. Step 6: Final answer
    x = 255.36

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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.