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Finding the Fourth Proportional to 588.26, 882.39 and 198.23

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Solution

The fourth proportional to 588.26, 882.39 and 198.23 is: 297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.26 : 882.39 = 198.23 : x
  2. Step 2: Convert to fraction form
    588.26/882.39 = 198.23/x
  3. Step 3: Cross multiply
    588.26x = 882.39 × 198.23
  4. Step 4: Simplify right side
    588.26x = 174,916.17
  5. Step 5: Solve for x
    x = 174,916.17/588.26
  6. Step 6: Final answer
    x = 297.35

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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.