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Finding the Fourth Proportional to 632.26, 946.36 and 516.43

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Solution

The fourth proportional to 632.26, 946.36 and 516.43 is: 772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.26 : 946.36 = 516.43 : x
  2. Step 2: Convert to fraction form
    632.26/946.36 = 516.43/x
  3. Step 3: Cross multiply
    632.26x = 946.36 × 516.43
  4. Step 4: Simplify right side
    632.26x = 488,728.69
  5. Step 5: Solve for x
    x = 488,728.69/632.26
  6. Step 6: Final answer
    x = 772.99

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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.