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Finding the Fourth Proportional to 420.44, 580.21 and 236.44

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Solution

The fourth proportional to 420.44, 580.21 and 236.44 is: 326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.44 : 580.21 = 236.44 : x
  2. Step 2: Convert to fraction form
    420.44/580.21 = 236.44/x
  3. Step 3: Cross multiply
    420.44x = 580.21 × 236.44
  4. Step 4: Simplify right side
    420.44x = 137,182.22
  5. Step 5: Solve for x
    x = 137,182.22/420.44
  6. Step 6: Final answer
    x = 326.28

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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.