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Finding the Fourth Proportional to 270.40, 371.24 and 233.52

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Solution

The fourth proportional to 270.40, 371.24 and 233.52 is: 320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.40 : 371.24 = 233.52 : x
  2. Step 2: Convert to fraction form
    270.40/371.24 = 233.52/x
  3. Step 3: Cross multiply
    270.40x = 371.24 × 233.52
  4. Step 4: Simplify right side
    270.40x = 86,691.96
  5. Step 5: Solve for x
    x = 86,691.96/270.40
  6. Step 6: Final answer
    x = 320.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.