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Finding the Fourth Proportional to 422.70, 625.20 and 422.70

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Solution

The fourth proportional to 422.70, 625.20 and 422.70 is: 625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.70 : 625.20 = 422.70 : x
  2. Step 2: Convert to fraction form
    422.70/625.20 = 422.70/x
  3. Step 3: Cross multiply
    422.70x = 625.20 × 422.70
  4. Step 4: Simplify right side
    422.70x = 264,272.04
  5. Step 5: Solve for x
    x = 264,272.04/422.70
  6. Step 6: Final answer
    x = 625.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.