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Finding the Fourth Proportional to 278.08, 415.01 and 270.79

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Solution

The fourth proportional to 278.08, 415.01 and 270.79 is: 404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.08 : 415.01 = 270.79 : x
  2. Step 2: Convert to fraction form
    278.08/415.01 = 270.79/x
  3. Step 3: Cross multiply
    278.08x = 415.01 × 270.79
  4. Step 4: Simplify right side
    278.08x = 112,380.56
  5. Step 5: Solve for x
    x = 112,380.56/278.08
  6. Step 6: Final answer
    x = 404.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.