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Finding the Fourth Proportional to 607.68, 911.22 and 217.66

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Solution

The fourth proportional to 607.68, 911.22 and 217.66 is: 326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.68 : 911.22 = 217.66 : x
  2. Step 2: Convert to fraction form
    607.68/911.22 = 217.66/x
  3. Step 3: Cross multiply
    607.68x = 911.22 × 217.66
  4. Step 4: Simplify right side
    607.68x = 198,336.15
  5. Step 5: Solve for x
    x = 198,336.15/607.68
  6. Step 6: Final answer
    x = 326.38

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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.