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Finding the Fourth Proportional to 632.29, 872.23 and 435.46

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Solution

The fourth proportional to 632.29, 872.23 and 435.46 is: 600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.29 : 872.23 = 435.46 : x
  2. Step 2: Convert to fraction form
    632.29/872.23 = 435.46/x
  3. Step 3: Cross multiply
    632.29x = 872.23 × 435.46
  4. Step 4: Simplify right side
    632.29x = 379,821.28
  5. Step 5: Solve for x
    x = 379,821.28/632.29
  6. Step 6: Final answer
    x = 600.71

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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.