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Finding the Fourth Proportional to 493.20, 739.88 and 204.63

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Solution

The fourth proportional to 493.20, 739.88 and 204.63 is: 306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.20 : 739.88 = 204.63 : x
  2. Step 2: Convert to fraction form
    493.20/739.88 = 204.63/x
  3. Step 3: Cross multiply
    493.20x = 739.88 × 204.63
  4. Step 4: Simplify right side
    493.20x = 151,398.46
  5. Step 5: Solve for x
    x = 151,398.46/493.20
  6. Step 6: Final answer
    x = 306.97

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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.