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Finding the Fourth Proportional to 494.82, 742.38 and 170.19

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Solution

The fourth proportional to 494.82, 742.38 and 170.19 is: 255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.82 : 742.38 = 170.19 : x
  2. Step 2: Convert to fraction form
    494.82/742.38 = 170.19/x
  3. Step 3: Cross multiply
    494.82x = 742.38 × 170.19
  4. Step 4: Simplify right side
    494.82x = 126,345.65
  5. Step 5: Solve for x
    x = 126,345.65/494.82
  6. Step 6: Final answer
    x = 255.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.