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Finding the Fourth Proportional to 278.28, 414.13 and 269.05

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Solution

The fourth proportional to 278.28, 414.13 and 269.05 is: 400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.28 : 414.13 = 269.05 : x
  2. Step 2: Convert to fraction form
    278.28/414.13 = 269.05/x
  3. Step 3: Cross multiply
    278.28x = 414.13 × 269.05
  4. Step 4: Simplify right side
    278.28x = 111,421.68
  5. Step 5: Solve for x
    x = 111,421.68/278.28
  6. Step 6: Final answer
    x = 400.39

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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.