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Finding the Fourth Proportional to 422.47, 579.78 and 415.27

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Solution

The fourth proportional to 422.47, 579.78 and 415.27 is: 569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.47 : 579.78 = 415.27 : x
  2. Step 2: Convert to fraction form
    422.47/579.78 = 415.27/x
  3. Step 3: Cross multiply
    422.47x = 579.78 × 415.27
  4. Step 4: Simplify right side
    422.47x = 240,765.24
  5. Step 5: Solve for x
    x = 240,765.24/422.47
  6. Step 6: Final answer
    x = 569.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.