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Finding the Fourth Proportional to 588.73, 883.24 and 198.73

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Solution

The fourth proportional to 588.73, 883.24 and 198.73 is: 298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.73 : 883.24 = 198.73 : x
  2. Step 2: Convert to fraction form
    588.73/883.24 = 198.73/x
  3. Step 3: Cross multiply
    588.73x = 883.24 × 198.73
  4. Step 4: Simplify right side
    588.73x = 175,524.62
  5. Step 5: Solve for x
    x = 175,524.62/588.73
  6. Step 6: Final answer
    x = 298.14

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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.