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Finding the Fourth Proportional to 568.38, 852.56 and 226.38

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Solution

The fourth proportional to 568.38, 852.56 and 226.38 is: 339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.38 : 852.56 = 226.38 : x
  2. Step 2: Convert to fraction form
    568.38/852.56 = 226.38/x
  3. Step 3: Cross multiply
    568.38x = 852.56 × 226.38
  4. Step 4: Simplify right side
    568.38x = 193,002.53
  5. Step 5: Solve for x
    x = 193,002.53/568.38
  6. Step 6: Final answer
    x = 339.57

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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.