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Finding the Fourth Proportional to 296.38, 443.62 and 249.76

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Solution

The fourth proportional to 296.38, 443.62 and 249.76 is: 373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.38 : 443.62 = 249.76 : x
  2. Step 2: Convert to fraction form
    296.38/443.62 = 249.76/x
  3. Step 3: Cross multiply
    296.38x = 443.62 × 249.76
  4. Step 4: Simplify right side
    296.38x = 110,797.73
  5. Step 5: Solve for x
    x = 110,797.73/296.38
  6. Step 6: Final answer
    x = 373.84

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Why These Related Problems?

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