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Finding the Fourth Proportional to 376.54, 519.68 and 229.12

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Solution

The fourth proportional to 376.54, 519.68 and 229.12 is: 316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.54 : 519.68 = 229.12 : x
  2. Step 2: Convert to fraction form
    376.54/519.68 = 229.12/x
  3. Step 3: Cross multiply
    376.54x = 519.68 × 229.12
  4. Step 4: Simplify right side
    376.54x = 119,069.08
  5. Step 5: Solve for x
    x = 119,069.08/376.54
  6. Step 6: Final answer
    x = 316.22

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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.