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Finding the Fourth Proportional to 382.85, 528.32 and 208.19

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Solution

The fourth proportional to 382.85, 528.32 and 208.19 is: 287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.85 : 528.32 = 208.19 : x
  2. Step 2: Convert to fraction form
    382.85/528.32 = 208.19/x
  3. Step 3: Cross multiply
    382.85x = 528.32 × 208.19
  4. Step 4: Simplify right side
    382.85x = 109,988.30
  5. Step 5: Solve for x
    x = 109,988.30/382.85
  6. Step 6: Final answer
    x = 287.29

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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.