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Finding the Fourth Proportional to 422.02, 580.46 and 338.95

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Solution

The fourth proportional to 422.02, 580.46 and 338.95 is: 466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.02 : 580.46 = 338.95 : x
  2. Step 2: Convert to fraction form
    422.02/580.46 = 338.95/x
  3. Step 3: Cross multiply
    422.02x = 580.46 × 338.95
  4. Step 4: Simplify right side
    422.02x = 196,744.59
  5. Step 5: Solve for x
    x = 196,744.59/422.02
  6. Step 6: Final answer
    x = 466.20

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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.