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Finding the Fourth Proportional to 422.97, 583.75 and 236.46

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Solution

The fourth proportional to 422.97, 583.75 and 236.46 is: 326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.97 : 583.75 = 236.46 : x
  2. Step 2: Convert to fraction form
    422.97/583.75 = 236.46/x
  3. Step 3: Cross multiply
    422.97x = 583.75 × 236.46
  4. Step 4: Simplify right side
    422.97x = 138,034.39
  5. Step 5: Solve for x
    x = 138,034.39/422.97
  6. Step 6: Final answer
    x = 326.35

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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.