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Finding the Fourth Proportional to 275.85, 411.95 and 273.69

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Solution

The fourth proportional to 275.85, 411.95 and 273.69 is: 408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.85 : 411.95 = 273.69 : x
  2. Step 2: Convert to fraction form
    275.85/411.95 = 273.69/x
  3. Step 3: Cross multiply
    275.85x = 411.95 × 273.69
  4. Step 4: Simplify right side
    275.85x = 112,747.28
  5. Step 5: Solve for x
    x = 112,747.28/275.85
  6. Step 6: Final answer
    x = 408.73

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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.