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Finding the Fourth Proportional to 279.44, 387.77 and 271.88

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Solution

The fourth proportional to 279.44, 387.77 and 271.88 is: 377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.44 : 387.77 = 271.88 : x
  2. Step 2: Convert to fraction form
    279.44/387.77 = 271.88/x
  3. Step 3: Cross multiply
    279.44x = 387.77 × 271.88
  4. Step 4: Simplify right side
    279.44x = 105,426.91
  5. Step 5: Solve for x
    x = 105,426.91/279.44
  6. Step 6: Final answer
    x = 377.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.