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Finding the Fourth Proportional to 276.42, 414 and 271.38

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Solution

The fourth proportional to 276.42, 414 and 271.38 is: 406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.42 : 414 = 271.38 : x
  2. Step 2: Convert to fraction form
    276.42/414 = 271.38/x
  3. Step 3: Cross multiply
    276.42x = 414 × 271.38
  4. Step 4: Simplify right side
    276.42x = 112,351.32
  5. Step 5: Solve for x
    x = 112,351.32/276.42
  6. Step 6: Final answer
    x = 406.45

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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.