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Finding the Fourth Proportional to 379.69, 523.06 and 281.27

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Solution

The fourth proportional to 379.69, 523.06 and 281.27 is: 387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.69 : 523.06 = 281.27 : x
  2. Step 2: Convert to fraction form
    379.69/523.06 = 281.27/x
  3. Step 3: Cross multiply
    379.69x = 523.06 × 281.27
  4. Step 4: Simplify right side
    379.69x = 147,121.69
  5. Step 5: Solve for x
    x = 147,121.69/379.69
  6. Step 6: Final answer
    x = 387.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.