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Finding the Fourth Proportional to 412.24, 618.36 and 219.76

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Solution

The fourth proportional to 412.24, 618.36 and 219.76 is: 329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.24 : 618.36 = 219.76 : x
  2. Step 2: Convert to fraction form
    412.24/618.36 = 219.76/x
  3. Step 3: Cross multiply
    412.24x = 618.36 × 219.76
  4. Step 4: Simplify right side
    412.24x = 135,890.79
  5. Step 5: Solve for x
    x = 135,890.79/412.24
  6. Step 6: Final answer
    x = 329.64

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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.