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Finding the Fourth Proportional to 629.62, 943.76 and 398.68

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Solution

The fourth proportional to 629.62, 943.76 and 398.68 is: 597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.62 : 943.76 = 398.68 : x
  2. Step 2: Convert to fraction form
    629.62/943.76 = 398.68/x
  3. Step 3: Cross multiply
    629.62x = 943.76 × 398.68
  4. Step 4: Simplify right side
    629.62x = 376,258.24
  5. Step 5: Solve for x
    x = 376,258.24/629.62
  6. Step 6: Final answer
    x = 597.60

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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.