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Finding the Fourth Proportional to 272.97, 407.03 and 269.33

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Solution

The fourth proportional to 272.97, 407.03 and 269.33 is: 401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.97 : 407.03 = 269.33 : x
  2. Step 2: Convert to fraction form
    272.97/407.03 = 269.33/x
  3. Step 3: Cross multiply
    272.97x = 407.03 × 269.33
  4. Step 4: Simplify right side
    272.97x = 109,622.01
  5. Step 5: Solve for x
    x = 109,622.01/272.97
  6. Step 6: Final answer
    x = 401.59

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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.