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Finding the Fourth Proportional to 493.14, 739.71 and 204.24

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Solution

The fourth proportional to 493.14, 739.71 and 204.24 is: 306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.14 : 739.71 = 204.24 : x
  2. Step 2: Convert to fraction form
    493.14/739.71 = 204.24/x
  3. Step 3: Cross multiply
    493.14x = 739.71 × 204.24
  4. Step 4: Simplify right side
    493.14x = 151,078.37
  5. Step 5: Solve for x
    x = 151,078.37/493.14
  6. Step 6: Final answer
    x = 306.36

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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.