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Finding the Fourth Proportional to 412.36, 617.86 and 206.72

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Solution

The fourth proportional to 412.36, 617.86 and 206.72 is: 309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.36 : 617.86 = 206.72 : x
  2. Step 2: Convert to fraction form
    412.36/617.86 = 206.72/x
  3. Step 3: Cross multiply
    412.36x = 617.86 × 206.72
  4. Step 4: Simplify right side
    412.36x = 127,724.02
  5. Step 5: Solve for x
    x = 127,724.02/412.36
  6. Step 6: Final answer
    x = 309.74

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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.