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Finding the Fourth Proportional to 376.56, 519.70 and 229.20

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Solution

The fourth proportional to 376.56, 519.70 and 229.20 is: 316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.56 : 519.70 = 229.20 : x
  2. Step 2: Convert to fraction form
    376.56/519.70 = 229.20/x
  3. Step 3: Cross multiply
    376.56x = 519.70 × 229.20
  4. Step 4: Simplify right side
    376.56x = 119,115.24
  5. Step 5: Solve for x
    x = 119,115.24/376.56
  6. Step 6: Final answer
    x = 316.32

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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.