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Finding the Fourth Proportional to 381.80, 523.10 and 367.96

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Solution

The fourth proportional to 381.80, 523.10 and 367.96 is: 504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.80 : 523.10 = 367.96 : x
  2. Step 2: Convert to fraction form
    381.80/523.10 = 367.96/x
  3. Step 3: Cross multiply
    381.80x = 523.10 × 367.96
  4. Step 4: Simplify right side
    381.80x = 192,479.88
  5. Step 5: Solve for x
    x = 192,479.88/381.80
  6. Step 6: Final answer
    x = 504.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.