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Finding the Fourth Proportional to 632.97, 872.33 and 485.96

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Solution

The fourth proportional to 632.97, 872.33 and 485.96 is: 669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.97 : 872.33 = 485.96 : x
  2. Step 2: Convert to fraction form
    632.97/872.33 = 485.96/x
  3. Step 3: Cross multiply
    632.97x = 872.33 × 485.96
  4. Step 4: Simplify right side
    632.97x = 423,910.70
  5. Step 5: Solve for x
    x = 423,910.70/632.97
  6. Step 6: Final answer
    x = 669.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.