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Finding the Fourth Proportional to 376.47, 519.60 and 227.09

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Solution

The fourth proportional to 376.47, 519.60 and 227.09 is: 313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.47 : 519.60 = 227.09 : x
  2. Step 2: Convert to fraction form
    376.47/519.60 = 227.09/x
  3. Step 3: Cross multiply
    376.47x = 519.60 × 227.09
  4. Step 4: Simplify right side
    376.47x = 117,993.37
  5. Step 5: Solve for x
    x = 117,993.37/376.47
  6. Step 6: Final answer
    x = 313.42

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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.