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Finding the Fourth Proportional to 379.43, 566.19 and 338.57

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Solution

The fourth proportional to 379.43, 566.19 and 338.57 is: 505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.43 : 566.19 = 338.57 : x
  2. Step 2: Convert to fraction form
    379.43/566.19 = 338.57/x
  3. Step 3: Cross multiply
    379.43x = 566.19 × 338.57
  4. Step 4: Simplify right side
    379.43x = 191,693.26
  5. Step 5: Solve for x
    x = 191,693.26/379.43
  6. Step 6: Final answer
    x = 505.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.