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Finding the Fourth Proportional to 327.93, 452.75 and 217.50

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Solution

The fourth proportional to 327.93, 452.75 and 217.50 is: 300.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.93 : 452.75 = 217.50 : x
  2. Step 2: Convert to fraction form
    327.93/452.75 = 217.50/x
  3. Step 3: Cross multiply
    327.93x = 452.75 × 217.50
  4. Step 4: Simplify right side
    327.93x = 98,473.13
  5. Step 5: Solve for x
    x = 98,473.13/327.93
  6. Step 6: Final answer
    x = 300.29

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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.