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Finding the Fourth Proportional to 382.97, 528.49 and 208.32

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Solution

The fourth proportional to 382.97, 528.49 and 208.32 is: 287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.97 : 528.49 = 208.32 : x
  2. Step 2: Convert to fraction form
    382.97/528.49 = 208.32/x
  3. Step 3: Cross multiply
    382.97x = 528.49 × 208.32
  4. Step 4: Simplify right side
    382.97x = 110,095.04
  5. Step 5: Solve for x
    x = 110,095.04/382.97
  6. Step 6: Final answer
    x = 287.48

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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.