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Finding the Fourth Proportional to 382.75, 528.20 and 208.09

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Solution

The fourth proportional to 382.75, 528.20 and 208.09 is: 287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.75 : 528.20 = 208.09 : x
  2. Step 2: Convert to fraction form
    382.75/528.20 = 208.09/x
  3. Step 3: Cross multiply
    382.75x = 528.20 × 208.09
  4. Step 4: Simplify right side
    382.75x = 109,914.44
  5. Step 5: Solve for x
    x = 109,914.44/382.75
  6. Step 6: Final answer
    x = 287.17

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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.