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Finding the Fourth Proportional to 327.74, 452.40 and 217.45

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Solution

The fourth proportional to 327.74, 452.40 and 217.45 is: 300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.74 : 452.40 = 217.45 : x
  2. Step 2: Convert to fraction form
    327.74/452.40 = 217.45/x
  3. Step 3: Cross multiply
    327.74x = 452.40 × 217.45
  4. Step 4: Simplify right side
    327.74x = 98,372.12
  5. Step 5: Solve for x
    x = 98,372.12/327.74
  6. Step 6: Final answer
    x = 300.15

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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.