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Finding the Fourth Proportional to 382.09, 527.11 and 226.75

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Solution

The fourth proportional to 382.09, 527.11 and 226.75 is: 312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.09 : 527.11 = 226.75 : x
  2. Step 2: Convert to fraction form
    382.09/527.11 = 226.75/x
  3. Step 3: Cross multiply
    382.09x = 527.11 × 226.75
  4. Step 4: Simplify right side
    382.09x = 119,522.19
  5. Step 5: Solve for x
    x = 119,522.19/382.09
  6. Step 6: Final answer
    x = 312.81

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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.