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Finding the Fourth Proportional to 588.33, 882.39 and 218.09

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Solution

The fourth proportional to 588.33, 882.39 and 218.09 is: 327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.33 : 882.39 = 218.09 : x
  2. Step 2: Convert to fraction form
    588.33/882.39 = 218.09/x
  3. Step 3: Cross multiply
    588.33x = 882.39 × 218.09
  4. Step 4: Simplify right side
    588.33x = 192,440.44
  5. Step 5: Solve for x
    x = 192,440.44/588.33
  6. Step 6: Final answer
    x = 327.10

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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.