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Finding the Fourth Proportional to 588.44, 882.37 and 218.12

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Solution

The fourth proportional to 588.44, 882.37 and 218.12 is: 327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.44 : 882.37 = 218.12 : x
  2. Step 2: Convert to fraction form
    588.44/882.37 = 218.12/x
  3. Step 3: Cross multiply
    588.44x = 882.37 × 218.12
  4. Step 4: Simplify right side
    588.44x = 192,457.04
  5. Step 5: Solve for x
    x = 192,457.04/588.44
  6. Step 6: Final answer
    x = 327.07

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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.