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Finding the Fourth Proportional to 588.08, 882.17 and 241.43

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Solution

The fourth proportional to 588.08, 882.17 and 241.43 is: 362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.08 : 882.17 = 241.43 : x
  2. Step 2: Convert to fraction form
    588.08/882.17 = 241.43/x
  3. Step 3: Cross multiply
    588.08x = 882.17 × 241.43
  4. Step 4: Simplify right side
    588.08x = 212,976.69
  5. Step 5: Solve for x
    x = 212,976.69/588.08
  6. Step 6: Final answer
    x = 362.16

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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.