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Finding the Fourth Proportional to 607.49, 911.24 and 196.63

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Solution

The fourth proportional to 607.49, 911.24 and 196.63 is: 294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.49 : 911.24 = 196.63 : x
  2. Step 2: Convert to fraction form
    607.49/911.24 = 196.63/x
  3. Step 3: Cross multiply
    607.49x = 911.24 × 196.63
  4. Step 4: Simplify right side
    607.49x = 179,175.33
  5. Step 5: Solve for x
    x = 179,175.33/607.49
  6. Step 6: Final answer
    x = 294.95

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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.