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Finding the Fourth Proportional to 516.28, 713.38 and 450.68

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Solution

The fourth proportional to 516.28, 713.38 and 450.68 is: 622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.28 : 713.38 = 450.68 : x
  2. Step 2: Convert to fraction form
    516.28/713.38 = 450.68/x
  3. Step 3: Cross multiply
    516.28x = 713.38 × 450.68
  4. Step 4: Simplify right side
    516.28x = 321,506.10
  5. Step 5: Solve for x
    x = 321,506.10/516.28
  6. Step 6: Final answer
    x = 622.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.