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Finding the Fourth Proportional to 493.08, 739.72 and 204.54

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Solution

The fourth proportional to 493.08, 739.72 and 204.54 is: 306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.08 : 739.72 = 204.54 : x
  2. Step 2: Convert to fraction form
    493.08/739.72 = 204.54/x
  3. Step 3: Cross multiply
    493.08x = 739.72 × 204.54
  4. Step 4: Simplify right side
    493.08x = 151,302.33
  5. Step 5: Solve for x
    x = 151,302.33/493.08
  6. Step 6: Final answer
    x = 306.85

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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.