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Finding the Fourth Proportional to 613.36, 919.23 and 450.28

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Solution

The fourth proportional to 613.36, 919.23 and 450.28 is: 674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.36 : 919.23 = 450.28 : x
  2. Step 2: Convert to fraction form
    613.36/919.23 = 450.28/x
  3. Step 3: Cross multiply
    613.36x = 919.23 × 450.28
  4. Step 4: Simplify right side
    613.36x = 413,910.88
  5. Step 5: Solve for x
    x = 413,910.88/613.36
  6. Step 6: Final answer
    x = 674.83

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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.