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Finding the Fourth Proportional to 381.20, 525.89 and 233.78

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Solution

The fourth proportional to 381.20, 525.89 and 233.78 is: 322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.20 : 525.89 = 233.78 : x
  2. Step 2: Convert to fraction form
    381.20/525.89 = 233.78/x
  3. Step 3: Cross multiply
    381.20x = 525.89 × 233.78
  4. Step 4: Simplify right side
    381.20x = 122,940.52
  5. Step 5: Solve for x
    x = 122,940.52/381.20
  6. Step 6: Final answer
    x = 322.51

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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.