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Finding the Fourth Proportional to 327.79, 452.12 and 203.23

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Solution

The fourth proportional to 327.79, 452.12 and 203.23 is: 280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.79 : 452.12 = 203.23 : x
  2. Step 2: Convert to fraction form
    327.79/452.12 = 203.23/x
  3. Step 3: Cross multiply
    327.79x = 452.12 × 203.23
  4. Step 4: Simplify right side
    327.79x = 91,881.07
  5. Step 5: Solve for x
    x = 91,881.07/327.79
  6. Step 6: Final answer
    x = 280.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.