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Finding the Fourth Proportional to 629.21, 941.38 and 422.80

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Solution

The fourth proportional to 629.21, 941.38 and 422.80 is: 632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.21 : 941.38 = 422.80 : x
  2. Step 2: Convert to fraction form
    629.21/941.38 = 422.80/x
  3. Step 3: Cross multiply
    629.21x = 941.38 × 422.80
  4. Step 4: Simplify right side
    629.21x = 398,015.46
  5. Step 5: Solve for x
    x = 398,015.46/629.21
  6. Step 6: Final answer
    x = 632.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.