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Finding the Fourth Proportional to 382.08, 527.34 and 226.92

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Solution

The fourth proportional to 382.08, 527.34 and 226.92 is: 313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.08 : 527.34 = 226.92 : x
  2. Step 2: Convert to fraction form
    382.08/527.34 = 226.92/x
  3. Step 3: Cross multiply
    382.08x = 527.34 × 226.92
  4. Step 4: Simplify right side
    382.08x = 119,663.99
  5. Step 5: Solve for x
    x = 119,663.99/382.08
  6. Step 6: Final answer
    x = 313.19

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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.