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Finding the Fourth Proportional to 379.73, 523.78 and 255.19

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Solution

The fourth proportional to 379.73, 523.78 and 255.19 is: 352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.73 : 523.78 = 255.19 : x
  2. Step 2: Convert to fraction form
    379.73/523.78 = 255.19/x
  3. Step 3: Cross multiply
    379.73x = 523.78 × 255.19
  4. Step 4: Simplify right side
    379.73x = 133,663.42
  5. Step 5: Solve for x
    x = 133,663.42/379.73
  6. Step 6: Final answer
    x = 352.00

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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.