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Finding the Fourth Proportional to 632.86, 950.22 and 516.06

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Solution

The fourth proportional to 632.86, 950.22 and 516.06 is: 774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.86 : 950.22 = 516.06 : x
  2. Step 2: Convert to fraction form
    632.86/950.22 = 516.06/x
  3. Step 3: Cross multiply
    632.86x = 950.22 × 516.06
  4. Step 4: Simplify right side
    632.86x = 490,370.53
  5. Step 5: Solve for x
    x = 490,370.53/632.86
  6. Step 6: Final answer
    x = 774.85

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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.