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Finding the Fourth Proportional to 269.73, 405 and 261.63

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Solution

The fourth proportional to 269.73, 405 and 261.63 is: 392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.73 : 405 = 261.63 : x
  2. Step 2: Convert to fraction form
    269.73/405 = 261.63/x
  3. Step 3: Cross multiply
    269.73x = 405 × 261.63
  4. Step 4: Simplify right side
    269.73x = 105,960.15
  5. Step 5: Solve for x
    x = 105,960.15/269.73
  6. Step 6: Final answer
    x = 392.84

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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.