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Finding the Fourth Proportional to 382.20, 527.44 and 216.38

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Solution

The fourth proportional to 382.20, 527.44 and 216.38 is: 298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.20 : 527.44 = 216.38 : x
  2. Step 2: Convert to fraction form
    382.20/527.44 = 216.38/x
  3. Step 3: Cross multiply
    382.20x = 527.44 × 216.38
  4. Step 4: Simplify right side
    382.20x = 114,127.47
  5. Step 5: Solve for x
    x = 114,127.47/382.20
  6. Step 6: Final answer
    x = 298.61

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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.