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Finding the Fourth Proportional to 327.24, 450.36 and 233.82

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Solution

The fourth proportional to 327.24, 450.36 and 233.82 is: 321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.24 : 450.36 = 233.82 : x
  2. Step 2: Convert to fraction form
    327.24/450.36 = 233.82/x
  3. Step 3: Cross multiply
    327.24x = 450.36 × 233.82
  4. Step 4: Simplify right side
    327.24x = 105,303.18
  5. Step 5: Solve for x
    x = 105,303.18/327.24
  6. Step 6: Final answer
    x = 321.79

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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.