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Finding the Fourth Proportional to 588.01, 882.21 and 198.20

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Solution

The fourth proportional to 588.01, 882.21 and 198.20 is: 297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.01 : 882.21 = 198.20 : x
  2. Step 2: Convert to fraction form
    588.01/882.21 = 198.20/x
  3. Step 3: Cross multiply
    588.01x = 882.21 × 198.20
  4. Step 4: Simplify right side
    588.01x = 174,853.03
  5. Step 5: Solve for x
    x = 174,853.03/588.01
  6. Step 6: Final answer
    x = 297.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.