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Finding the Fourth Proportional to 422.54, 582.80 and 265.24

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Solution

The fourth proportional to 422.54, 582.80 and 265.24 is: 365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.54 : 582.80 = 265.24 : x
  2. Step 2: Convert to fraction form
    422.54/582.80 = 265.24/x
  3. Step 3: Cross multiply
    422.54x = 582.80 × 265.24
  4. Step 4: Simplify right side
    422.54x = 154,581.87
  5. Step 5: Solve for x
    x = 154,581.87/422.54
  6. Step 6: Final answer
    x = 365.84

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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.