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Finding the Fourth Proportional to 422.28, 581.50 and 412.70

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Solution

The fourth proportional to 422.28, 581.50 and 412.70 is: 568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.28 : 581.50 = 412.70 : x
  2. Step 2: Convert to fraction form
    422.28/581.50 = 412.70/x
  3. Step 3: Cross multiply
    422.28x = 581.50 × 412.70
  4. Step 4: Simplify right side
    422.28x = 239,985.05
  5. Step 5: Solve for x
    x = 239,985.05/422.28
  6. Step 6: Final answer
    x = 568.31

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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.