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Finding the Fourth Proportional to 588.19, 881.37 and 222.78

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Solution

The fourth proportional to 588.19, 881.37 and 222.78 is: 333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.19 : 881.37 = 222.78 : x
  2. Step 2: Convert to fraction form
    588.19/881.37 = 222.78/x
  3. Step 3: Cross multiply
    588.19x = 881.37 × 222.78
  4. Step 4: Simplify right side
    588.19x = 196,350.49
  5. Step 5: Solve for x
    x = 196,350.49/588.19
  6. Step 6: Final answer
    x = 333.82

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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.