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Finding the Fourth Proportional to 381.94, 527.19 and 234.65

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Solution

The fourth proportional to 381.94, 527.19 and 234.65 is: 323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.94 : 527.19 = 234.65 : x
  2. Step 2: Convert to fraction form
    381.94/527.19 = 234.65/x
  3. Step 3: Cross multiply
    381.94x = 527.19 × 234.65
  4. Step 4: Simplify right side
    381.94x = 123,705.13
  5. Step 5: Solve for x
    x = 123,705.13/381.94
  6. Step 6: Final answer
    x = 323.89

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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.