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Finding the Fourth Proportional to 588.38, 882.42 and 223.16

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Solution

The fourth proportional to 588.38, 882.42 and 223.16 is: 334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.38 : 882.42 = 223.16 : x
  2. Step 2: Convert to fraction form
    588.38/882.42 = 223.16/x
  3. Step 3: Cross multiply
    588.38x = 882.42 × 223.16
  4. Step 4: Simplify right side
    588.38x = 196,920.85
  5. Step 5: Solve for x
    x = 196,920.85/588.38
  6. Step 6: Final answer
    x = 334.68

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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.