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Finding the Fourth Proportional to 422.29, 582.73 and 265.02

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Solution

The fourth proportional to 422.29, 582.73 and 265.02 is: 365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.29 : 582.73 = 265.02 : x
  2. Step 2: Convert to fraction form
    422.29/582.73 = 265.02/x
  3. Step 3: Cross multiply
    422.29x = 582.73 × 265.02
  4. Step 4: Simplify right side
    422.29x = 154,435.10
  5. Step 5: Solve for x
    x = 154,435.10/422.29
  6. Step 6: Final answer
    x = 365.71

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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.