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Finding the Fourth Proportional to 297.99, 411.46 and 232.38

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Solution

The fourth proportional to 297.99, 411.46 and 232.38 is: 320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.99 : 411.46 = 232.38 : x
  2. Step 2: Convert to fraction form
    297.99/411.46 = 232.38/x
  3. Step 3: Cross multiply
    297.99x = 411.46 × 232.38
  4. Step 4: Simplify right side
    297.99x = 95,614.49
  5. Step 5: Solve for x
    x = 95,614.49/297.99
  6. Step 6: Final answer
    x = 320.86

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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.