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Finding the Fourth Proportional to 494.89, 742.18 and 202.39

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Solution

The fourth proportional to 494.89, 742.18 and 202.39 is: 303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.89 : 742.18 = 202.39 : x
  2. Step 2: Convert to fraction form
    494.89/742.18 = 202.39/x
  3. Step 3: Cross multiply
    494.89x = 742.18 × 202.39
  4. Step 4: Simplify right side
    494.89x = 150,209.81
  5. Step 5: Solve for x
    x = 150,209.81/494.89
  6. Step 6: Final answer
    x = 303.52

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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.