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Finding the Fourth Proportional to 382.91, 528.41 and 227.63

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Solution

The fourth proportional to 382.91, 528.41 and 227.63 is: 314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.91 : 528.41 = 227.63 : x
  2. Step 2: Convert to fraction form
    382.91/528.41 = 227.63/x
  3. Step 3: Cross multiply
    382.91x = 528.41 × 227.63
  4. Step 4: Simplify right side
    382.91x = 120,279.90
  5. Step 5: Solve for x
    x = 120,279.90/382.91
  6. Step 6: Final answer
    x = 314.12

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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.