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Finding the Fourth Proportional to 269.72, 406.33 and 266.36

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Solution

The fourth proportional to 269.72, 406.33 and 266.36 is: 401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.72 : 406.33 = 266.36 : x
  2. Step 2: Convert to fraction form
    269.72/406.33 = 266.36/x
  3. Step 3: Cross multiply
    269.72x = 406.33 × 266.36
  4. Step 4: Simplify right side
    269.72x = 108,230.06
  5. Step 5: Solve for x
    x = 108,230.06/269.72
  6. Step 6: Final answer
    x = 401.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.