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Finding the Fourth Proportional to 272.80, 406.13 and 269.56

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Solution

The fourth proportional to 272.80, 406.13 and 269.56 is: 401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.80 : 406.13 = 269.56 : x
  2. Step 2: Convert to fraction form
    272.80/406.13 = 269.56/x
  3. Step 3: Cross multiply
    272.80x = 406.13 × 269.56
  4. Step 4: Simplify right side
    272.80x = 109,476.40
  5. Step 5: Solve for x
    x = 109,476.40/272.80
  6. Step 6: Final answer
    x = 401.31

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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.