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Finding the Fourth Proportional to 629.98, 944.49 and 401.50

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Solution

The fourth proportional to 629.98, 944.49 and 401.50 is: 601.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.98 : 944.49 = 401.50 : x
  2. Step 2: Convert to fraction form
    629.98/944.49 = 401.50/x
  3. Step 3: Cross multiply
    629.98x = 944.49 × 401.50
  4. Step 4: Simplify right side
    629.98x = 379,212.74
  5. Step 5: Solve for x
    x = 379,212.74/629.98
  6. Step 6: Final answer
    x = 601.94

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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.