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Finding the Fourth Proportional to 379.92, 566.98 and 338.92

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Solution

The fourth proportional to 379.92, 566.98 and 338.92 is: 505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.92 : 566.98 = 338.92 : x
  2. Step 2: Convert to fraction form
    379.92/566.98 = 338.92/x
  3. Step 3: Cross multiply
    379.92x = 566.98 × 338.92
  4. Step 4: Simplify right side
    379.92x = 192,158.60
  5. Step 5: Solve for x
    x = 192,158.60/379.92
  6. Step 6: Final answer
    x = 505.78

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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.