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Finding the Fourth Proportional to 629.98, 944.06 and 398.32

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Solution

The fourth proportional to 629.98, 944.06 and 398.32 is: 596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.98 : 944.06 = 398.32 : x
  2. Step 2: Convert to fraction form
    629.98/944.06 = 398.32/x
  3. Step 3: Cross multiply
    629.98x = 944.06 × 398.32
  4. Step 4: Simplify right side
    629.98x = 376,033.63
  5. Step 5: Solve for x
    x = 376,033.63/629.98
  6. Step 6: Final answer
    x = 596.90

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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.