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Finding the Fourth Proportional to 568.38, 851.82 and 243.34

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Solution

The fourth proportional to 568.38, 851.82 and 243.34 is: 364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.38 : 851.82 = 243.34 : x
  2. Step 2: Convert to fraction form
    568.38/851.82 = 243.34/x
  3. Step 3: Cross multiply
    568.38x = 851.82 × 243.34
  4. Step 4: Simplify right side
    568.38x = 207,281.88
  5. Step 5: Solve for x
    x = 207,281.88/568.38
  6. Step 6: Final answer
    x = 364.69

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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.