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Finding the Fourth Proportional to 379.38, 523.81 and 248.61

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Solution

The fourth proportional to 379.38, 523.81 and 248.61 is: 343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.38 : 523.81 = 248.61 : x
  2. Step 2: Convert to fraction form
    379.38/523.81 = 248.61/x
  3. Step 3: Cross multiply
    379.38x = 523.81 × 248.61
  4. Step 4: Simplify right side
    379.38x = 130,224.40
  5. Step 5: Solve for x
    x = 130,224.40/379.38
  6. Step 6: Final answer
    x = 343.26

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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.