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Finding the Fourth Proportional to 422.26, 582.50 and 264.86

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Solution

The fourth proportional to 422.26, 582.50 and 264.86 is: 365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.26 : 582.50 = 264.86 : x
  2. Step 2: Convert to fraction form
    422.26/582.50 = 264.86/x
  3. Step 3: Cross multiply
    422.26x = 582.50 × 264.86
  4. Step 4: Simplify right side
    422.26x = 154,280.95
  5. Step 5: Solve for x
    x = 154,280.95/422.26
  6. Step 6: Final answer
    x = 365.37

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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.