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Finding the Fourth Proportional to 376.78, 519.82 and 227.36

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Solution

The fourth proportional to 376.78, 519.82 and 227.36 is: 313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.78 : 519.82 = 227.36 : x
  2. Step 2: Convert to fraction form
    376.78/519.82 = 227.36/x
  3. Step 3: Cross multiply
    376.78x = 519.82 × 227.36
  4. Step 4: Simplify right side
    376.78x = 118,186.28
  5. Step 5: Solve for x
    x = 118,186.28/376.78
  6. Step 6: Final answer
    x = 313.67

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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.