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Finding the Fourth Proportional to 449.15, 673.11 and 326.84

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Solution

The fourth proportional to 449.15, 673.11 and 326.84 is: 489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.15 : 673.11 = 326.84 : x
  2. Step 2: Convert to fraction form
    449.15/673.11 = 326.84/x
  3. Step 3: Cross multiply
    449.15x = 673.11 × 326.84
  4. Step 4: Simplify right side
    449.15x = 219,995.91
  5. Step 5: Solve for x
    x = 219,995.91/449.15
  6. Step 6: Final answer
    x = 489.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.