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Finding the Fourth Proportional to 493.56, 739.86 and 204.60

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Solution

The fourth proportional to 493.56, 739.86 and 204.60 is: 306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.56 : 739.86 = 204.60 : x
  2. Step 2: Convert to fraction form
    493.56/739.86 = 204.60/x
  3. Step 3: Cross multiply
    493.56x = 739.86 × 204.60
  4. Step 4: Simplify right side
    493.56x = 151,375.36
  5. Step 5: Solve for x
    x = 151,375.36/493.56
  6. Step 6: Final answer
    x = 306.70

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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.