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Finding the Fourth Proportional to 382.43, 527.79 and 214.44

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Solution

The fourth proportional to 382.43, 527.79 and 214.44 is: 295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.43 : 527.79 = 214.44 : x
  2. Step 2: Convert to fraction form
    382.43/527.79 = 214.44/x
  3. Step 3: Cross multiply
    382.43x = 527.79 × 214.44
  4. Step 4: Simplify right side
    382.43x = 113,181.08
  5. Step 5: Solve for x
    x = 113,181.08/382.43
  6. Step 6: Final answer
    x = 295.95

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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.