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Finding the Fourth Proportional to 354.56, 534.24 and 343.04

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Solution

The fourth proportional to 354.56, 534.24 and 343.04 is: 516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.56 : 534.24 = 343.04 : x
  2. Step 2: Convert to fraction form
    354.56/534.24 = 343.04/x
  3. Step 3: Cross multiply
    354.56x = 534.24 × 343.04
  4. Step 4: Simplify right side
    354.56x = 183,265.69
  5. Step 5: Solve for x
    x = 183,265.69/354.56
  6. Step 6: Final answer
    x = 516.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.