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Finding the Fourth Proportional to 568.42, 853.11 and 226.66

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Solution

The fourth proportional to 568.42, 853.11 and 226.66 is: 340.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.42 : 853.11 = 226.66 : x
  2. Step 2: Convert to fraction form
    568.42/853.11 = 226.66/x
  3. Step 3: Cross multiply
    568.42x = 853.11 × 226.66
  4. Step 4: Simplify right side
    568.42x = 193,365.91
  5. Step 5: Solve for x
    x = 193,365.91/568.42
  6. Step 6: Final answer
    x = 340.18

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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.