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Finding the Fourth Proportional to 422.21, 582.48 and 264.78

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Solution

The fourth proportional to 422.21, 582.48 and 264.78 is: 365.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.21 : 582.48 = 264.78 : x
  2. Step 2: Convert to fraction form
    422.21/582.48 = 264.78/x
  3. Step 3: Cross multiply
    422.21x = 582.48 × 264.78
  4. Step 4: Simplify right side
    422.21x = 154,226.14
  5. Step 5: Solve for x
    x = 154,226.14/422.21
  6. Step 6: Final answer
    x = 365.28

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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.