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Finding the Fourth Proportional to 492.67, 739.41 and 200.44

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Solution

The fourth proportional to 492.67, 739.41 and 200.44 is: 300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.67 : 739.41 = 200.44 : x
  2. Step 2: Convert to fraction form
    492.67/739.41 = 200.44/x
  3. Step 3: Cross multiply
    492.67x = 739.41 × 200.44
  4. Step 4: Simplify right side
    492.67x = 148,207.34
  5. Step 5: Solve for x
    x = 148,207.34/492.67
  6. Step 6: Final answer
    x = 300.82

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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.