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Finding the Fourth Proportional to 297.47, 408.82 and 231.86

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Solution

The fourth proportional to 297.47, 408.82 and 231.86 is: 318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.47 : 408.82 = 231.86 : x
  2. Step 2: Convert to fraction form
    297.47/408.82 = 231.86/x
  3. Step 3: Cross multiply
    297.47x = 408.82 × 231.86
  4. Step 4: Simplify right side
    297.47x = 94,790.53
  5. Step 5: Solve for x
    x = 94,790.53/297.47
  6. Step 6: Final answer
    x = 318.65

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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.