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Finding the Fourth Proportional to 588.46, 882.92 and 241.96

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Solution

The fourth proportional to 588.46, 882.92 and 241.96 is: 363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.46 : 882.92 = 241.96 : x
  2. Step 2: Convert to fraction form
    588.46/882.92 = 241.96/x
  3. Step 3: Cross multiply
    588.46x = 882.92 × 241.96
  4. Step 4: Simplify right side
    588.46x = 213,625.70
  5. Step 5: Solve for x
    x = 213,625.70/588.46
  6. Step 6: Final answer
    x = 363.03

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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.