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Finding the Fourth Proportional to 423.28, 634.83 and 134.70

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Solution

The fourth proportional to 423.28, 634.83 and 134.70 is: 202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.28 : 634.83 = 134.70 : x
  2. Step 2: Convert to fraction form
    423.28/634.83 = 134.70/x
  3. Step 3: Cross multiply
    423.28x = 634.83 × 134.70
  4. Step 4: Simplify right side
    423.28x = 85,511.60
  5. Step 5: Solve for x
    x = 85,511.60/423.28
  6. Step 6: Final answer
    x = 202.02

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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.