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Finding the Fourth Proportional to 381.59, 571.78 and 219.39

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Solution

The fourth proportional to 381.59, 571.78 and 219.39 is: 328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.59 : 571.78 = 219.39 : x
  2. Step 2: Convert to fraction form
    381.59/571.78 = 219.39/x
  3. Step 3: Cross multiply
    381.59x = 571.78 × 219.39
  4. Step 4: Simplify right side
    381.59x = 125,441.72
  5. Step 5: Solve for x
    x = 125,441.72/381.59
  6. Step 6: Final answer
    x = 328.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.