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Finding the Fourth Proportional to 278.96, 415.76 and 276.72

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Solution

The fourth proportional to 278.96, 415.76 and 276.72 is: 412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.96 : 415.76 = 276.72 : x
  2. Step 2: Convert to fraction form
    278.96/415.76 = 276.72/x
  3. Step 3: Cross multiply
    278.96x = 415.76 × 276.72
  4. Step 4: Simplify right side
    278.96x = 115,049.11
  5. Step 5: Solve for x
    x = 115,049.11/278.96
  6. Step 6: Final answer
    x = 412.42

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Why These Related Problems?

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