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Finding the Fourth Proportional to 446.40, 668.20 and 248.46

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Solution

The fourth proportional to 446.40, 668.20 and 248.46 is: 371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.40 : 668.20 = 248.46 : x
  2. Step 2: Convert to fraction form
    446.40/668.20 = 248.46/x
  3. Step 3: Cross multiply
    446.40x = 668.20 × 248.46
  4. Step 4: Simplify right side
    446.40x = 166,020.97
  5. Step 5: Solve for x
    x = 166,020.97/446.40
  6. Step 6: Final answer
    x = 371.91

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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.