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Finding the Fourth Proportional to 376.43, 519.48 and 219.11

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Solution

The fourth proportional to 376.43, 519.48 and 219.11 is: 302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.43 : 519.48 = 219.11 : x
  2. Step 2: Convert to fraction form
    376.43/519.48 = 219.11/x
  3. Step 3: Cross multiply
    376.43x = 519.48 × 219.11
  4. Step 4: Simplify right side
    376.43x = 113,820.67
  5. Step 5: Solve for x
    x = 113,820.67/376.43
  6. Step 6: Final answer
    x = 302.37

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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.