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Finding the Fourth Proportional to 588.62, 882.46 and 223.20

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Solution

The fourth proportional to 588.62, 882.46 and 223.20 is: 334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.62 : 882.46 = 223.20 : x
  2. Step 2: Convert to fraction form
    588.62/882.46 = 223.20/x
  3. Step 3: Cross multiply
    588.62x = 882.46 × 223.20
  4. Step 4: Simplify right side
    588.62x = 196,965.07
  5. Step 5: Solve for x
    x = 196,965.07/588.62
  6. Step 6: Final answer
    x = 334.62

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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.