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Finding the Fourth Proportional to 382.92, 528.43 and 208.27

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Solution

The fourth proportional to 382.92, 528.43 and 208.27 is: 287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.92 : 528.43 = 208.27 : x
  2. Step 2: Convert to fraction form
    382.92/528.43 = 208.27/x
  3. Step 3: Cross multiply
    382.92x = 528.43 × 208.27
  4. Step 4: Simplify right side
    382.92x = 110,055.06
  5. Step 5: Solve for x
    x = 110,055.06/382.92
  6. Step 6: Final answer
    x = 287.41

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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.