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Finding the Fourth Proportional to 588.13, 882.21 and 222.94

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Solution

The fourth proportional to 588.13, 882.21 and 222.94 is: 334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.13 : 882.21 = 222.94 : x
  2. Step 2: Convert to fraction form
    588.13/882.21 = 222.94/x
  3. Step 3: Cross multiply
    588.13x = 882.21 × 222.94
  4. Step 4: Simplify right side
    588.13x = 196,678.25
  5. Step 5: Solve for x
    x = 196,678.25/588.13
  6. Step 6: Final answer
    x = 334.42

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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.