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Finding the Fourth Proportional to 275.14, 411.67 and 271

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Solution

The fourth proportional to 275.14, 411.67 and 271 is: 405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.14 : 411.67 = 271 : x
  2. Step 2: Convert to fraction form
    275.14/411.67 = 271/x
  3. Step 3: Cross multiply
    275.14x = 411.67 × 271
  4. Step 4: Simplify right side
    275.14x = 111,562.57
  5. Step 5: Solve for x
    x = 111,562.57/275.14
  6. Step 6: Final answer
    x = 405.48

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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.