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Finding the Fourth Proportional to 422.63, 583.17 and 236.09

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Solution

The fourth proportional to 422.63, 583.17 and 236.09 is: 325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.63 : 583.17 = 236.09 : x
  2. Step 2: Convert to fraction form
    422.63/583.17 = 236.09/x
  3. Step 3: Cross multiply
    422.63x = 583.17 × 236.09
  4. Step 4: Simplify right side
    422.63x = 137,681.53
  5. Step 5: Solve for x
    x = 137,681.53/422.63
  6. Step 6: Final answer
    x = 325.77

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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.