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Finding the Fourth Proportional to 493.06, 739.88 and 200.62

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Solution

The fourth proportional to 493.06, 739.88 and 200.62 is: 301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.06 : 739.88 = 200.62 : x
  2. Step 2: Convert to fraction form
    493.06/739.88 = 200.62/x
  3. Step 3: Cross multiply
    493.06x = 739.88 × 200.62
  4. Step 4: Simplify right side
    493.06x = 148,434.73
  5. Step 5: Solve for x
    x = 148,434.73/493.06
  6. Step 6: Final answer
    x = 301.05

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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.