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Finding the Fourth Proportional to 629.14, 942.68 and 445.64

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Solution

The fourth proportional to 629.14, 942.68 and 445.64 is: 667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.14 : 942.68 = 445.64 : x
  2. Step 2: Convert to fraction form
    629.14/942.68 = 445.64/x
  3. Step 3: Cross multiply
    629.14x = 942.68 × 445.64
  4. Step 4: Simplify right side
    629.14x = 420,095.92
  5. Step 5: Solve for x
    x = 420,095.92/629.14
  6. Step 6: Final answer
    x = 667.73

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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.