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Finding the Fourth Proportional to 412.41, 618.72 and 206.91

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Solution

The fourth proportional to 412.41, 618.72 and 206.91 is: 310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.41 : 618.72 = 206.91 : x
  2. Step 2: Convert to fraction form
    412.41/618.72 = 206.91/x
  3. Step 3: Cross multiply
    412.41x = 618.72 × 206.91
  4. Step 4: Simplify right side
    412.41x = 128,019.36
  5. Step 5: Solve for x
    x = 128,019.36/412.41
  6. Step 6: Final answer
    x = 310.42

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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.