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Finding the Fourth Proportional to 422.26, 582.58 and 264.91

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Solution

The fourth proportional to 422.26, 582.58 and 264.91 is: 365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.26 : 582.58 = 264.91 : x
  2. Step 2: Convert to fraction form
    422.26/582.58 = 264.91/x
  3. Step 3: Cross multiply
    422.26x = 582.58 × 264.91
  4. Step 4: Simplify right side
    422.26x = 154,331.27
  5. Step 5: Solve for x
    x = 154,331.27/422.26
  6. Step 6: Final answer
    x = 365.49

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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.