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Finding the Fourth Proportional to 343.79, 516.99 and 274.54

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Solution

The fourth proportional to 343.79, 516.99 and 274.54 is: 412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.79 : 516.99 = 274.54 : x
  2. Step 2: Convert to fraction form
    343.79/516.99 = 274.54/x
  3. Step 3: Cross multiply
    343.79x = 516.99 × 274.54
  4. Step 4: Simplify right side
    343.79x = 141,934.43
  5. Step 5: Solve for x
    x = 141,934.43/343.79
  6. Step 6: Final answer
    x = 412.85

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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.