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Finding the Fourth Proportional to 582.33, 872.67 and 516.99

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Solution

The fourth proportional to 582.33, 872.67 and 516.99 is: 774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.33 : 872.67 = 516.99 : x
  2. Step 2: Convert to fraction form
    582.33/872.67 = 516.99/x
  3. Step 3: Cross multiply
    582.33x = 872.67 × 516.99
  4. Step 4: Simplify right side
    582.33x = 451,161.66
  5. Step 5: Solve for x
    x = 451,161.66/582.33
  6. Step 6: Final answer
    x = 774.75

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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.