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Finding the Fourth Proportional to 422.91, 583.58 and 236.39

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Solution

The fourth proportional to 422.91, 583.58 and 236.39 is: 326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.91 : 583.58 = 236.39 : x
  2. Step 2: Convert to fraction form
    422.91/583.58 = 236.39/x
  3. Step 3: Cross multiply
    422.91x = 583.58 × 236.39
  4. Step 4: Simplify right side
    422.91x = 137,948.38
  5. Step 5: Solve for x
    x = 137,948.38/422.91
  6. Step 6: Final answer
    x = 326.19

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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.