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Finding the Fourth Proportional to 494.96, 742.23 and 202.26

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Solution

The fourth proportional to 494.96, 742.23 and 202.26 is: 303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.96 : 742.23 = 202.26 : x
  2. Step 2: Convert to fraction form
    494.96/742.23 = 202.26/x
  3. Step 3: Cross multiply
    494.96x = 742.23 × 202.26
  4. Step 4: Simplify right side
    494.96x = 150,122.05
  5. Step 5: Solve for x
    x = 150,122.05/494.96
  6. Step 6: Final answer
    x = 303.30

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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.