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Finding the Fourth Proportional to 588.42, 882.59 and 198.41

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Solution

The fourth proportional to 588.42, 882.59 and 198.41 is: 297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.42 : 882.59 = 198.41 : x
  2. Step 2: Convert to fraction form
    588.42/882.59 = 198.41/x
  3. Step 3: Cross multiply
    588.42x = 882.59 × 198.41
  4. Step 4: Simplify right side
    588.42x = 175,109.28
  5. Step 5: Solve for x
    x = 175,109.28/588.42
  6. Step 6: Final answer
    x = 297.59

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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.