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Finding the Fourth Proportional to 632.38, 872.73 and 445.94

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Solution

The fourth proportional to 632.38, 872.73 and 445.94 is: 615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.38 : 872.73 = 445.94 : x
  2. Step 2: Convert to fraction form
    632.38/872.73 = 445.94/x
  3. Step 3: Cross multiply
    632.38x = 872.73 × 445.94
  4. Step 4: Simplify right side
    632.38x = 389,178.62
  5. Step 5: Solve for x
    x = 389,178.62/632.38
  6. Step 6: Final answer
    x = 615.42

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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.