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Finding the Fourth Proportional to 278.46, 417.42 and 271.44

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Solution

The fourth proportional to 278.46, 417.42 and 271.44 is: 406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.46 : 417.42 = 271.44 : x
  2. Step 2: Convert to fraction form
    278.46/417.42 = 271.44/x
  3. Step 3: Cross multiply
    278.46x = 417.42 × 271.44
  4. Step 4: Simplify right side
    278.46x = 113,304.48
  5. Step 5: Solve for x
    x = 113,304.48/278.46
  6. Step 6: Final answer
    x = 406.90

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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.