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Finding the Fourth Proportional to 516.86, 713.17 and 330.21

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Solution

The fourth proportional to 516.86, 713.17 and 330.21 is: 455.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.86 : 713.17 = 330.21 : x
  2. Step 2: Convert to fraction form
    516.86/713.17 = 330.21/x
  3. Step 3: Cross multiply
    516.86x = 713.17 × 330.21
  4. Step 4: Simplify right side
    516.86x = 235,491.95
  5. Step 5: Solve for x
    x = 235,491.95/516.86
  6. Step 6: Final answer
    x = 455.62

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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.