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Finding the Fourth Proportional to 376.57, 519.69 and 219.21

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Solution

The fourth proportional to 376.57, 519.69 and 219.21 is: 302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.57 : 519.69 = 219.21 : x
  2. Step 2: Convert to fraction form
    376.57/519.69 = 219.21/x
  3. Step 3: Cross multiply
    376.57x = 519.69 × 219.21
  4. Step 4: Simplify right side
    376.57x = 113,921.24
  5. Step 5: Solve for x
    x = 113,921.24/376.57
  6. Step 6: Final answer
    x = 302.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.