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Finding the Fourth Proportional to 343.68, 516.53 and 340.03

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Solution

The fourth proportional to 343.68, 516.53 and 340.03 is: 511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.68 : 516.53 = 340.03 : x
  2. Step 2: Convert to fraction form
    343.68/516.53 = 340.03/x
  3. Step 3: Cross multiply
    343.68x = 516.53 × 340.03
  4. Step 4: Simplify right side
    343.68x = 175,635.70
  5. Step 5: Solve for x
    x = 175,635.70/343.68
  6. Step 6: Final answer
    x = 511.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.