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Finding the Fourth Proportional to 343.54, 516.62 and 274.29

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Solution

The fourth proportional to 343.54, 516.62 and 274.29 is: 412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.54 : 516.62 = 274.29 : x
  2. Step 2: Convert to fraction form
    343.54/516.62 = 274.29/x
  3. Step 3: Cross multiply
    343.54x = 516.62 × 274.29
  4. Step 4: Simplify right side
    343.54x = 141,703.70
  5. Step 5: Solve for x
    x = 141,703.70/343.54
  6. Step 6: Final answer
    x = 412.48

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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.