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Finding the Fourth Proportional to 588.38, 882.58 and 198.37

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Solution

The fourth proportional to 588.38, 882.58 and 198.37 is: 297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.38 : 882.58 = 198.37 : x
  2. Step 2: Convert to fraction form
    588.38/882.58 = 198.37/x
  3. Step 3: Cross multiply
    588.38x = 882.58 × 198.37
  4. Step 4: Simplify right side
    588.38x = 175,078.37
  5. Step 5: Solve for x
    x = 175,078.37/588.38
  6. Step 6: Final answer
    x = 297.56

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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.