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Finding the Fourth Proportional to 412.38, 618.20 and 206.84

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Solution

The fourth proportional to 412.38, 618.20 and 206.84 is: 310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.38 : 618.20 = 206.84 : x
  2. Step 2: Convert to fraction form
    412.38/618.20 = 206.84/x
  3. Step 3: Cross multiply
    412.38x = 618.20 × 206.84
  4. Step 4: Simplify right side
    412.38x = 127,868.49
  5. Step 5: Solve for x
    x = 127,868.49/412.38
  6. Step 6: Final answer
    x = 310.07

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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.