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Finding the Fourth Proportional to 449.91, 674.42 and 416.77

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Solution

The fourth proportional to 449.91, 674.42 and 416.77 is: 624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.91 : 674.42 = 416.77 : x
  2. Step 2: Convert to fraction form
    449.91/674.42 = 416.77/x
  3. Step 3: Cross multiply
    449.91x = 674.42 × 416.77
  4. Step 4: Simplify right side
    449.91x = 281,074.25
  5. Step 5: Solve for x
    x = 281,074.25/449.91
  6. Step 6: Final answer
    x = 624.73

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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.