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Finding the Fourth Proportional to 493.66, 739.41 and 204.22

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Solution

The fourth proportional to 493.66, 739.41 and 204.22 is: 305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.66 : 739.41 = 204.22 : x
  2. Step 2: Convert to fraction form
    493.66/739.41 = 204.22/x
  3. Step 3: Cross multiply
    493.66x = 739.41 × 204.22
  4. Step 4: Simplify right side
    493.66x = 151,002.31
  5. Step 5: Solve for x
    x = 151,002.31/493.66
  6. Step 6: Final answer
    x = 305.88

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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.