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Finding the Fourth Proportional to 449.45, 674.22 and 409.86

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Solution

The fourth proportional to 449.45, 674.22 and 409.86 is: 614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.45 : 674.22 = 409.86 : x
  2. Step 2: Convert to fraction form
    449.45/674.22 = 409.86/x
  3. Step 3: Cross multiply
    449.45x = 674.22 × 409.86
  4. Step 4: Simplify right side
    449.45x = 276,337.35
  5. Step 5: Solve for x
    x = 276,337.35/449.45
  6. Step 6: Final answer
    x = 614.84

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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.