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Finding the Fourth Proportional to 269.60, 406.57 and 265.96

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Solution

The fourth proportional to 269.60, 406.57 and 265.96 is: 401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.60 : 406.57 = 265.96 : x
  2. Step 2: Convert to fraction form
    269.60/406.57 = 265.96/x
  3. Step 3: Cross multiply
    269.60x = 406.57 × 265.96
  4. Step 4: Simplify right side
    269.60x = 108,131.36
  5. Step 5: Solve for x
    x = 108,131.36/269.60
  6. Step 6: Final answer
    x = 401.08

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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.