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Finding the Fourth Proportional to 379.26, 568.27 and 342.81

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Solution

The fourth proportional to 379.26, 568.27 and 342.81 is: 513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.26 : 568.27 = 342.81 : x
  2. Step 2: Convert to fraction form
    379.26/568.27 = 342.81/x
  3. Step 3: Cross multiply
    379.26x = 568.27 × 342.81
  4. Step 4: Simplify right side
    379.26x = 194,805.80
  5. Step 5: Solve for x
    x = 194,805.80/379.26
  6. Step 6: Final answer
    x = 513.65

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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.