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Finding the Fourth Proportional to 607.46, 911.34 and 196.60

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Solution

The fourth proportional to 607.46, 911.34 and 196.60 is: 294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.46 : 911.34 = 196.60 : x
  2. Step 2: Convert to fraction form
    607.46/911.34 = 196.60/x
  3. Step 3: Cross multiply
    607.46x = 911.34 × 196.60
  4. Step 4: Simplify right side
    607.46x = 179,168.81
  5. Step 5: Solve for x
    x = 179,168.81/607.46
  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.