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Finding the Fourth Proportional to 272.64, 408.42 and 270.84

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Solution

The fourth proportional to 272.64, 408.42 and 270.84 is: 405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.64 : 408.42 = 270.84 : x
  2. Step 2: Convert to fraction form
    272.64/408.42 = 270.84/x
  3. Step 3: Cross multiply
    272.64x = 408.42 × 270.84
  4. Step 4: Simplify right side
    272.64x = 110,616.47
  5. Step 5: Solve for x
    x = 110,616.47/272.64
  6. Step 6: Final answer
    x = 405.72

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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.