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Finding the Fourth Proportional to 632.91, 868.73 and 561.41

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Solution

The fourth proportional to 632.91, 868.73 and 561.41 is: 770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.91 : 868.73 = 561.41 : x
  2. Step 2: Convert to fraction form
    632.91/868.73 = 561.41/x
  3. Step 3: Cross multiply
    632.91x = 868.73 × 561.41
  4. Step 4: Simplify right side
    632.91x = 487,713.71
  5. Step 5: Solve for x
    x = 487,713.71/632.91
  6. Step 6: Final answer
    x = 770.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.