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Finding the Fourth Proportional to 494.48, 742.17 and 263.57

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Solution

The fourth proportional to 494.48, 742.17 and 263.57 is: 395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.48 : 742.17 = 263.57 : x
  2. Step 2: Convert to fraction form
    494.48/742.17 = 263.57/x
  3. Step 3: Cross multiply
    494.48x = 742.17 × 263.57
  4. Step 4: Simplify right side
    494.48x = 195,613.81
  5. Step 5: Solve for x
    x = 195,613.81/494.48
  6. Step 6: Final answer
    x = 395.59

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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.