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Finding the Fourth Proportional to 632.80, 872.96 and 422.76

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Solution

The fourth proportional to 632.80, 872.96 and 422.76 is: 583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.80 : 872.96 = 422.76 : x
  2. Step 2: Convert to fraction form
    632.80/872.96 = 422.76/x
  3. Step 3: Cross multiply
    632.80x = 872.96 × 422.76
  4. Step 4: Simplify right side
    632.80x = 369,052.57
  5. Step 5: Solve for x
    x = 369,052.57/632.80
  6. Step 6: Final answer
    x = 583.21

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Why These Related Problems?

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