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Finding the Fourth Proportional to 422.51, 583.09 and 236.03

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Solution

The fourth proportional to 422.51, 583.09 and 236.03 is: 325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.51 : 583.09 = 236.03 : x
  2. Step 2: Convert to fraction form
    422.51/583.09 = 236.03/x
  3. Step 3: Cross multiply
    422.51x = 583.09 × 236.03
  4. Step 4: Simplify right side
    422.51x = 137,627.60
  5. Step 5: Solve for x
    x = 137,627.60/422.51
  6. Step 6: Final answer
    x = 325.74

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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.