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Finding the Fourth Proportional to 376.39, 519.41 and 219.12

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Solution

The fourth proportional to 376.39, 519.41 and 219.12 is: 302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.39 : 519.41 = 219.12 : x
  2. Step 2: Convert to fraction form
    376.39/519.41 = 219.12/x
  3. Step 3: Cross multiply
    376.39x = 519.41 × 219.12
  4. Step 4: Simplify right side
    376.39x = 113,811.72
  5. Step 5: Solve for x
    x = 113,811.72/376.39
  6. Step 6: Final answer
    x = 302.38

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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.