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Finding the Fourth Proportional to 297.38, 410.24 and 231.44

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Solution

The fourth proportional to 297.38, 410.24 and 231.44 is: 319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.38 : 410.24 = 231.44 : x
  2. Step 2: Convert to fraction form
    297.38/410.24 = 231.44/x
  3. Step 3: Cross multiply
    297.38x = 410.24 × 231.44
  4. Step 4: Simplify right side
    297.38x = 94,942.74
  5. Step 5: Solve for x
    x = 94,942.74/297.38
  6. Step 6: Final answer
    x = 319.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.