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Finding the Fourth Proportional to 376.29, 519.29 and 219.02

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Solution

The fourth proportional to 376.29, 519.29 and 219.02 is: 302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.29 : 519.29 = 219.02 : x
  2. Step 2: Convert to fraction form
    376.29/519.29 = 219.02/x
  3. Step 3: Cross multiply
    376.29x = 519.29 × 219.02
  4. Step 4: Simplify right side
    376.29x = 113,734.90
  5. Step 5: Solve for x
    x = 113,734.90/376.29
  6. Step 6: Final answer
    x = 302.25

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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.