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Finding the Fourth Proportional to 376.44, 519.73 and 229.27

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Solution

The fourth proportional to 376.44, 519.73 and 229.27 is: 316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.44 : 519.73 = 229.27 : x
  2. Step 2: Convert to fraction form
    376.44/519.73 = 229.27/x
  3. Step 3: Cross multiply
    376.44x = 519.73 × 229.27
  4. Step 4: Simplify right side
    376.44x = 119,158.50
  5. Step 5: Solve for x
    x = 119,158.50/376.44
  6. Step 6: Final answer
    x = 316.54

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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.