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Finding the Fourth Proportional to 382.44, 528.02 and 227.24

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Solution

The fourth proportional to 382.44, 528.02 and 227.24 is: 313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.44 : 528.02 = 227.24 : x
  2. Step 2: Convert to fraction form
    382.44/528.02 = 227.24/x
  3. Step 3: Cross multiply
    382.44x = 528.02 × 227.24
  4. Step 4: Simplify right side
    382.44x = 119,987.26
  5. Step 5: Solve for x
    x = 119,987.26/382.44
  6. Step 6: Final answer
    x = 313.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.