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Finding the Fourth Proportional to 270.92, 408.42 and 262.42

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Solution

The fourth proportional to 270.92, 408.42 and 262.42 is: 395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.92 : 408.42 = 262.42 : x
  2. Step 2: Convert to fraction form
    270.92/408.42 = 262.42/x
  3. Step 3: Cross multiply
    270.92x = 408.42 × 262.42
  4. Step 4: Simplify right side
    270.92x = 107,177.58
  5. Step 5: Solve for x
    x = 107,177.58/270.92
  6. Step 6: Final answer
    x = 395.61

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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.