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Finding the Fourth Proportional to 494.45, 742.20 and 299.94

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Solution

The fourth proportional to 494.45, 742.20 and 299.94 is: 450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.45 : 742.20 = 299.94 : x
  2. Step 2: Convert to fraction form
    494.45/742.20 = 299.94/x
  3. Step 3: Cross multiply
    494.45x = 742.20 × 299.94
  4. Step 4: Simplify right side
    494.45x = 222,613.97
  5. Step 5: Solve for x
    x = 222,613.97/494.45
  6. Step 6: Final answer
    x = 450.23

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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.