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Finding the Fourth Proportional to 379.33, 568.64 and 205.74

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Solution

The fourth proportional to 379.33, 568.64 and 205.74 is: 308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.33 : 568.64 = 205.74 : x
  2. Step 2: Convert to fraction form
    379.33/568.64 = 205.74/x
  3. Step 3: Cross multiply
    379.33x = 568.64 × 205.74
  4. Step 4: Simplify right side
    379.33x = 116,992.45
  5. Step 5: Solve for x
    x = 116,992.45/379.33
  6. Step 6: Final answer
    x = 308.42

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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.