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Finding the Fourth Proportional to 279.24, 418.26 and 271.56

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Solution

The fourth proportional to 279.24, 418.26 and 271.56 is: 406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.24 : 418.26 = 271.56 : x
  2. Step 2: Convert to fraction form
    279.24/418.26 = 271.56/x
  3. Step 3: Cross multiply
    279.24x = 418.26 × 271.56
  4. Step 4: Simplify right side
    279.24x = 113,582.69
  5. Step 5: Solve for x
    x = 113,582.69/279.24
  6. Step 6: Final answer
    x = 406.76

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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.