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Finding the Fourth Proportional to 358.23, 493.89 and 231.97

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Solution

The fourth proportional to 358.23, 493.89 and 231.97 is: 319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.23 : 493.89 = 231.97 : x
  2. Step 2: Convert to fraction form
    358.23/493.89 = 231.97/x
  3. Step 3: Cross multiply
    358.23x = 493.89 × 231.97
  4. Step 4: Simplify right side
    358.23x = 114,565.80
  5. Step 5: Solve for x
    x = 114,565.80/358.23
  6. Step 6: Final answer
    x = 319.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.