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Finding the Fourth Proportional to 327.12, 451.46 and 211.02

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Solution

The fourth proportional to 327.12, 451.46 and 211.02 is: 291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.12 : 451.46 = 211.02 : x
  2. Step 2: Convert to fraction form
    327.12/451.46 = 211.02/x
  3. Step 3: Cross multiply
    327.12x = 451.46 × 211.02
  4. Step 4: Simplify right side
    327.12x = 95,267.09
  5. Step 5: Solve for x
    x = 95,267.09/327.12
  6. Step 6: Final answer
    x = 291.23

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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.