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Finding the Fourth Proportional to 278.85, 384.44 and 271.83

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Solution

The fourth proportional to 278.85, 384.44 and 271.83 is: 374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.85 : 384.44 = 271.83 : x
  2. Step 2: Convert to fraction form
    278.85/384.44 = 271.83/x
  3. Step 3: Cross multiply
    278.85x = 384.44 × 271.83
  4. Step 4: Simplify right side
    278.85x = 104,500.97
  5. Step 5: Solve for x
    x = 104,500.97/278.85
  6. Step 6: Final answer
    x = 374.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.