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Finding the Fourth Proportional to 382.78, 528.23 and 208.12

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Solution

The fourth proportional to 382.78, 528.23 and 208.12 is: 287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.78 : 528.23 = 208.12 : x
  2. Step 2: Convert to fraction form
    382.78/528.23 = 208.12/x
  3. Step 3: Cross multiply
    382.78x = 528.23 × 208.12
  4. Step 4: Simplify right side
    382.78x = 109,935.23
  5. Step 5: Solve for x
    x = 109,935.23/382.78
  6. Step 6: Final answer
    x = 287.20

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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.