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Finding the Fourth Proportional to 380.38, 525.19 and 249.61

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Solution

The fourth proportional to 380.38, 525.19 and 249.61 is: 344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.38 : 525.19 = 249.61 : x
  2. Step 2: Convert to fraction form
    380.38/525.19 = 249.61/x
  3. Step 3: Cross multiply
    380.38x = 525.19 × 249.61
  4. Step 4: Simplify right side
    380.38x = 131,092.68
  5. Step 5: Solve for x
    x = 131,092.68/380.38
  6. Step 6: Final answer
    x = 344.64

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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.