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Finding the Fourth Proportional to 422.39, 582.83 and 245.37

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Solution

The fourth proportional to 422.39, 582.83 and 245.37 is: 338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.39 : 582.83 = 245.37 : x
  2. Step 2: Convert to fraction form
    422.39/582.83 = 245.37/x
  3. Step 3: Cross multiply
    422.39x = 582.83 × 245.37
  4. Step 4: Simplify right side
    422.39x = 143,009.00
  5. Step 5: Solve for x
    x = 143,009.00/422.39
  6. Step 6: Final answer
    x = 338.57

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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.