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Finding the Fourth Proportional to 588.52, 882.83 and 198.43

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Solution

The fourth proportional to 588.52, 882.83 and 198.43 is: 297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.52 : 882.83 = 198.43 : x
  2. Step 2: Convert to fraction form
    588.52/882.83 = 198.43/x
  3. Step 3: Cross multiply
    588.52x = 882.83 × 198.43
  4. Step 4: Simplify right side
    588.52x = 175,179.96
  5. Step 5: Solve for x
    x = 175,179.96/588.52
  6. Step 6: Final answer
    x = 297.66

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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.