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Finding the Fourth Proportional to 422.37, 582.84 and 265.14

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Solution

The fourth proportional to 422.37, 582.84 and 265.14 is: 365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.37 : 582.84 = 265.14 : x
  2. Step 2: Convert to fraction form
    422.37/582.84 = 265.14/x
  3. Step 3: Cross multiply
    422.37x = 582.84 × 265.14
  4. Step 4: Simplify right side
    422.37x = 154,534.20
  5. Step 5: Solve for x
    x = 154,534.20/422.37
  6. Step 6: Final answer
    x = 365.87

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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.