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Finding the Fourth Proportional to 382.44, 527.76 and 207.78

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Solution

The fourth proportional to 382.44, 527.76 and 207.78 is: 286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.44 : 527.76 = 207.78 : x
  2. Step 2: Convert to fraction form
    382.44/527.76 = 207.78/x
  3. Step 3: Cross multiply
    382.44x = 527.76 × 207.78
  4. Step 4: Simplify right side
    382.44x = 109,657.97
  5. Step 5: Solve for x
    x = 109,657.97/382.44
  6. Step 6: Final answer
    x = 286.73

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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.