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Finding the Fourth Proportional to 382.27, 527.50 and 216.50

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Solution

The fourth proportional to 382.27, 527.50 and 216.50 is: 298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.27 : 527.50 = 216.50 : x
  2. Step 2: Convert to fraction form
    382.27/527.50 = 216.50/x
  3. Step 3: Cross multiply
    382.27x = 527.50 × 216.50
  4. Step 4: Simplify right side
    382.27x = 114,202.56
  5. Step 5: Solve for x
    x = 114,202.56/382.27
  6. Step 6: Final answer
    x = 298.75

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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.