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Finding the Fourth Proportional to 343.28, 515.96 and 228.12

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Solution

The fourth proportional to 343.28, 515.96 and 228.12 is: 342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.28 : 515.96 = 228.12 : x
  2. Step 2: Convert to fraction form
    343.28/515.96 = 228.12/x
  3. Step 3: Cross multiply
    343.28x = 515.96 × 228.12
  4. Step 4: Simplify right side
    343.28x = 117,700.80
  5. Step 5: Solve for x
    x = 117,700.80/343.28
  6. Step 6: Final answer
    x = 342.87

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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.