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Finding the Fourth Proportional to 381.28, 571.77 and 208.09

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Solution

The fourth proportional to 381.28, 571.77 and 208.09 is: 312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.28 : 571.77 = 208.09 : x
  2. Step 2: Convert to fraction form
    381.28/571.77 = 208.09/x
  3. Step 3: Cross multiply
    381.28x = 571.77 × 208.09
  4. Step 4: Simplify right side
    381.28x = 118,979.62
  5. Step 5: Solve for x
    x = 118,979.62/381.28
  6. Step 6: Final answer
    x = 312.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.