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Finding the Fourth Proportional to 516.70, 772.75 and 459.33

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Solution

The fourth proportional to 516.70, 772.75 and 459.33 is: 686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.70 : 772.75 = 459.33 : x
  2. Step 2: Convert to fraction form
    516.70/772.75 = 459.33/x
  3. Step 3: Cross multiply
    516.70x = 772.75 × 459.33
  4. Step 4: Simplify right side
    516.70x = 354,947.26
  5. Step 5: Solve for x
    x = 354,947.26/516.70
  6. Step 6: Final answer
    x = 686.95

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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.