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Finding the Fourth Proportional to 381.85, 571.86 and 208.09

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Solution

The fourth proportional to 381.85, 571.86 and 208.09 is: 311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.85 : 571.86 = 208.09 : x
  2. Step 2: Convert to fraction form
    381.85/571.86 = 208.09/x
  3. Step 3: Cross multiply
    381.85x = 571.86 × 208.09
  4. Step 4: Simplify right side
    381.85x = 118,998.35
  5. Step 5: Solve for x
    x = 118,998.35/381.85
  6. Step 6: Final answer
    x = 311.64

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Why These Related Problems?

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