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Finding the Fourth Proportional to 449.37, 674.07 and 275.91

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Solution

The fourth proportional to 449.37, 674.07 and 275.91 is: 413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.37 : 674.07 = 275.91 : x
  2. Step 2: Convert to fraction form
    449.37/674.07 = 275.91/x
  3. Step 3: Cross multiply
    449.37x = 674.07 × 275.91
  4. Step 4: Simplify right side
    449.37x = 185,982.65
  5. Step 5: Solve for x
    x = 185,982.65/449.37
  6. Step 6: Final answer
    x = 413.87

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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.