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Finding the Fourth Proportional to 629.83, 943.78 and 423.63

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Solution

The fourth proportional to 629.83, 943.78 and 423.63 is: 634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.83 : 943.78 = 423.63 : x
  2. Step 2: Convert to fraction form
    629.83/943.78 = 423.63/x
  3. Step 3: Cross multiply
    629.83x = 943.78 × 423.63
  4. Step 4: Simplify right side
    629.83x = 399,811.40
  5. Step 5: Solve for x
    x = 399,811.40/629.83
  6. Step 6: Final answer
    x = 634.80

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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.