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Finding the Fourth Proportional to 381.93, 527.10 and 234.67

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Solution

The fourth proportional to 381.93, 527.10 and 234.67 is: 323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.93 : 527.10 = 234.67 : x
  2. Step 2: Convert to fraction form
    381.93/527.10 = 234.67/x
  3. Step 3: Cross multiply
    381.93x = 527.10 × 234.67
  4. Step 4: Simplify right side
    381.93x = 123,694.56
  5. Step 5: Solve for x
    x = 123,694.56/381.93
  6. Step 6: Final answer
    x = 323.87

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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.