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Finding the Fourth Proportional to 632.32, 872.96 and 604.80

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Solution

The fourth proportional to 632.32, 872.96 and 604.80 is: 834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.32 : 872.96 = 604.80 : x
  2. Step 2: Convert to fraction form
    632.32/872.96 = 604.80/x
  3. Step 3: Cross multiply
    632.32x = 872.96 × 604.80
  4. Step 4: Simplify right side
    632.32x = 527,966.21
  5. Step 5: Solve for x
    x = 527,966.21/632.32
  6. Step 6: Final answer
    x = 834.97

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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.