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Finding the Fourth Proportional to 382.22, 527.46 and 207.56

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Solution

The fourth proportional to 382.22, 527.46 and 207.56 is: 286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.22 : 527.46 = 207.56 : x
  2. Step 2: Convert to fraction form
    382.22/527.46 = 207.56/x
  3. Step 3: Cross multiply
    382.22x = 527.46 × 207.56
  4. Step 4: Simplify right side
    382.22x = 109,481.31
  5. Step 5: Solve for x
    x = 109,481.31/382.22
  6. Step 6: Final answer
    x = 286.44

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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.