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Finding the Fourth Proportional to 335.91, 465.92 and 323.61

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Solution

The fourth proportional to 335.91, 465.92 and 323.61 is: 448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.91 : 465.92 = 323.61 : x
  2. Step 2: Convert to fraction form
    335.91/465.92 = 323.61/x
  3. Step 3: Cross multiply
    335.91x = 465.92 × 323.61
  4. Step 4: Simplify right side
    335.91x = 150,774.75
  5. Step 5: Solve for x
    x = 150,774.75/335.91
  6. Step 6: Final answer
    x = 448.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.