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Finding the Fourth Proportional to 412.78, 618.56 and 229.92

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Solution

The fourth proportional to 412.78, 618.56 and 229.92 is: 344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.78 : 618.56 = 229.92 : x
  2. Step 2: Convert to fraction form
    412.78/618.56 = 229.92/x
  3. Step 3: Cross multiply
    412.78x = 618.56 × 229.92
  4. Step 4: Simplify right side
    412.78x = 142,219.03
  5. Step 5: Solve for x
    x = 142,219.03/412.78
  6. Step 6: Final answer
    x = 344.54

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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.