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Finding the Fourth Proportional to 516.30, 721.20 and 516.30

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Solution

The fourth proportional to 516.30, 721.20 and 516.30 is: 721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.30 : 721.20 = 516.30 : x
  2. Step 2: Convert to fraction form
    516.30/721.20 = 516.30/x
  3. Step 3: Cross multiply
    516.30x = 721.20 × 516.30
  4. Step 4: Simplify right side
    516.30x = 372,355.56
  5. Step 5: Solve for x
    x = 372,355.56/516.30
  6. Step 6: Final answer
    x = 721.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.