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Finding the Fourth Proportional to 492.89, 739.06 and 204.26

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Solution

The fourth proportional to 492.89, 739.06 and 204.26 is: 306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.89 : 739.06 = 204.26 : x
  2. Step 2: Convert to fraction form
    492.89/739.06 = 204.26/x
  3. Step 3: Cross multiply
    492.89x = 739.06 × 204.26
  4. Step 4: Simplify right side
    492.89x = 150,960.40
  5. Step 5: Solve for x
    x = 150,960.40/492.89
  6. Step 6: Final answer
    x = 306.28

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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.