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Finding the Fourth Proportional to 449.26, 674.09 and 305.21

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Solution

The fourth proportional to 449.26, 674.09 and 305.21 is: 457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.26 : 674.09 = 305.21 : x
  2. Step 2: Convert to fraction form
    449.26/674.09 = 305.21/x
  3. Step 3: Cross multiply
    449.26x = 674.09 × 305.21
  4. Step 4: Simplify right side
    449.26x = 205,739.01
  5. Step 5: Solve for x
    x = 205,739.01/449.26
  6. Step 6: Final answer
    x = 457.95

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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.