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Finding the Fourth Proportional to 493.27, 739.69 and 204.50

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Solution

The fourth proportional to 493.27, 739.69 and 204.50 is: 306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.27 : 739.69 = 204.50 : x
  2. Step 2: Convert to fraction form
    493.27/739.69 = 204.50/x
  3. Step 3: Cross multiply
    493.27x = 739.69 × 204.50
  4. Step 4: Simplify right side
    493.27x = 151,266.61
  5. Step 5: Solve for x
    x = 151,266.61/493.27
  6. Step 6: Final answer
    x = 306.66

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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.