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Finding the Fourth Proportional to 327.68, 452.40 and 203.40

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Solution

The fourth proportional to 327.68, 452.40 and 203.40 is: 280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.68 : 452.40 = 203.40 : x
  2. Step 2: Convert to fraction form
    327.68/452.40 = 203.40/x
  3. Step 3: Cross multiply
    327.68x = 452.40 × 203.40
  4. Step 4: Simplify right side
    327.68x = 92,017.40
  5. Step 5: Solve for x
    x = 92,017.40/327.68
  6. Step 6: Final answer
    x = 280.82

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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.