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Finding the Fourth Proportional to 327.83, 452.37 and 203.52

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Solution

The fourth proportional to 327.83, 452.37 and 203.52 is: 280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.83 : 452.37 = 203.52 : x
  2. Step 2: Convert to fraction form
    327.83/452.37 = 203.52/x
  3. Step 3: Cross multiply
    327.83x = 452.37 × 203.52
  4. Step 4: Simplify right side
    327.83x = 92,066.34
  5. Step 5: Solve for x
    x = 92,066.34/327.83
  6. Step 6: Final answer
    x = 280.84

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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.