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Finding the Fourth Proportional to 589.38, 883.82 and 223.92

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Solution

The fourth proportional to 589.38, 883.82 and 223.92 is: 335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.38 : 883.82 = 223.92 : x
  2. Step 2: Convert to fraction form
    589.38/883.82 = 223.92/x
  3. Step 3: Cross multiply
    589.38x = 883.82 × 223.92
  4. Step 4: Simplify right side
    589.38x = 197,904.97
  5. Step 5: Solve for x
    x = 197,904.97/589.38
  6. Step 6: Final answer
    x = 335.79

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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.