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Finding the Fourth Proportional to 422.92, 583.59 and 236.41

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Solution

The fourth proportional to 422.92, 583.59 and 236.41 is: 326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.92 : 583.59 = 236.41 : x
  2. Step 2: Convert to fraction form
    422.92/583.59 = 236.41/x
  3. Step 3: Cross multiply
    422.92x = 583.59 × 236.41
  4. Step 4: Simplify right side
    422.92x = 137,966.51
  5. Step 5: Solve for x
    x = 137,966.51/422.92
  6. Step 6: Final answer
    x = 326.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.