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Finding the Fourth Proportional to 381.44, 568.15 and 363.67

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Solution

The fourth proportional to 381.44, 568.15 and 363.67 is: 541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.44 : 568.15 = 363.67 : x
  2. Step 2: Convert to fraction form
    381.44/568.15 = 363.67/x
  3. Step 3: Cross multiply
    381.44x = 568.15 × 363.67
  4. Step 4: Simplify right side
    381.44x = 206,616.78
  5. Step 5: Solve for x
    x = 206,616.78/381.44
  6. Step 6: Final answer
    x = 541.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.