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Finding the Fourth Proportional to 422.94, 633.79 and 239.88

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Solution

The fourth proportional to 422.94, 633.79 and 239.88 is: 359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.94 : 633.79 = 239.88 : x
  2. Step 2: Convert to fraction form
    422.94/633.79 = 239.88/x
  3. Step 3: Cross multiply
    422.94x = 633.79 × 239.88
  4. Step 4: Simplify right side
    422.94x = 152,033.55
  5. Step 5: Solve for x
    x = 152,033.55/422.94
  6. Step 6: Final answer
    x = 359.47

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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.