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Finding the Fourth Proportional to 273.72, 408.16 and 271.28

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Solution

The fourth proportional to 273.72, 408.16 and 271.28 is: 404.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.72 : 408.16 = 271.28 : x
  2. Step 2: Convert to fraction form
    273.72/408.16 = 271.28/x
  3. Step 3: Cross multiply
    273.72x = 408.16 × 271.28
  4. Step 4: Simplify right side
    273.72x = 110,725.64
  5. Step 5: Solve for x
    x = 110,725.64/273.72
  6. Step 6: Final answer
    x = 404.52

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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.