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Finding the Fourth Proportional to 629.73, 869 and 349.98

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Solution

The fourth proportional to 629.73, 869 and 349.98 is: 482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.73 : 869 = 349.98 : x
  2. Step 2: Convert to fraction form
    629.73/869 = 349.98/x
  3. Step 3: Cross multiply
    629.73x = 869 × 349.98
  4. Step 4: Simplify right side
    629.73x = 304,132.62
  5. Step 5: Solve for x
    x = 304,132.62/629.73
  6. Step 6: Final answer
    x = 482.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.