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Finding the Fourth Proportional to 326.32, 449.86 and 233.04

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Solution

The fourth proportional to 326.32, 449.86 and 233.04 is: 321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.32 : 449.86 = 233.04 : x
  2. Step 2: Convert to fraction form
    326.32/449.86 = 233.04/x
  3. Step 3: Cross multiply
    326.32x = 449.86 × 233.04
  4. Step 4: Simplify right side
    326.32x = 104,835.37
  5. Step 5: Solve for x
    x = 104,835.37/326.32
  6. Step 6: Final answer
    x = 321.27

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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.