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Finding the Fourth Proportional to 474.73, 712.09 and 231.19

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Solution

The fourth proportional to 474.73, 712.09 and 231.19 is: 346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.73 : 712.09 = 231.19 : x
  2. Step 2: Convert to fraction form
    474.73/712.09 = 231.19/x
  3. Step 3: Cross multiply
    474.73x = 712.09 × 231.19
  4. Step 4: Simplify right side
    474.73x = 164,626.60
  5. Step 5: Solve for x
    x = 164,626.60/474.73
  6. Step 6: Final answer
    x = 346.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.