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Finding the Fourth Proportional to 492.82, 739.14 and 204.46

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Solution

The fourth proportional to 492.82, 739.14 and 204.46 is: 306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.82 : 739.14 = 204.46 : x
  2. Step 2: Convert to fraction form
    492.82/739.14 = 204.46/x
  3. Step 3: Cross multiply
    492.82x = 739.14 × 204.46
  4. Step 4: Simplify right side
    492.82x = 151,124.56
  5. Step 5: Solve for x
    x = 151,124.56/492.82
  6. Step 6: Final answer
    x = 306.65

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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.