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Finding the Fourth Proportional to 422.20, 557.52 and 422.20

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Solution

The fourth proportional to 422.20, 557.52 and 422.20 is: 557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.20 : 557.52 = 422.20 : x
  2. Step 2: Convert to fraction form
    422.20/557.52 = 422.20/x
  3. Step 3: Cross multiply
    422.20x = 557.52 × 422.20
  4. Step 4: Simplify right side
    422.20x = 235,384.94
  5. Step 5: Solve for x
    x = 235,384.94/422.20
  6. Step 6: Final answer
    x = 557.52

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.