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Finding the Fourth Proportional to 382.56, 528.48 and 324.48

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Solution

The fourth proportional to 382.56, 528.48 and 324.48 is: 448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.56 : 528.48 = 324.48 : x
  2. Step 2: Convert to fraction form
    382.56/528.48 = 324.48/x
  3. Step 3: Cross multiply
    382.56x = 528.48 × 324.48
  4. Step 4: Simplify right side
    382.56x = 171,481.19
  5. Step 5: Solve for x
    x = 171,481.19/382.56
  6. Step 6: Final answer
    x = 448.25

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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.