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Finding the Fourth Proportional to 588.36, 882.43 and 218.11

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Solution

The fourth proportional to 588.36, 882.43 and 218.11 is: 327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.36 : 882.43 = 218.11 : x
  2. Step 2: Convert to fraction form
    588.36/882.43 = 218.11/x
  3. Step 3: Cross multiply
    588.36x = 882.43 × 218.11
  4. Step 4: Simplify right side
    588.36x = 192,468.49
  5. Step 5: Solve for x
    x = 192,468.49/588.36
  6. Step 6: Final answer
    x = 327.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.