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Finding the Fourth Proportional to 381.24, 525.78 and 233.76

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Solution

The fourth proportional to 381.24, 525.78 and 233.76 is: 322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.24 : 525.78 = 233.76 : x
  2. Step 2: Convert to fraction form
    381.24/525.78 = 233.76/x
  3. Step 3: Cross multiply
    381.24x = 525.78 × 233.76
  4. Step 4: Simplify right side
    381.24x = 122,906.33
  5. Step 5: Solve for x
    x = 122,906.33/381.24
  6. Step 6: Final answer
    x = 322.39

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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.