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Finding the Fourth Proportional to 344.10, 474.79 and 204.27

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Solution

The fourth proportional to 344.10, 474.79 and 204.27 is: 281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.10 : 474.79 = 204.27 : x
  2. Step 2: Convert to fraction form
    344.10/474.79 = 204.27/x
  3. Step 3: Cross multiply
    344.10x = 474.79 × 204.27
  4. Step 4: Simplify right side
    344.10x = 96,984.33
  5. Step 5: Solve for x
    x = 96,984.33/344.10
  6. Step 6: Final answer
    x = 281.85

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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.