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Finding the Fourth Proportional to 412.29, 617.90 and 206.62

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Solution

The fourth proportional to 412.29, 617.90 and 206.62 is: 309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.29 : 617.90 = 206.62 : x
  2. Step 2: Convert to fraction form
    412.29/617.90 = 206.62/x
  3. Step 3: Cross multiply
    412.29x = 617.90 × 206.62
  4. Step 4: Simplify right side
    412.29x = 127,667.92
  5. Step 5: Solve for x
    x = 127,667.92/412.29
  6. Step 6: Final answer
    x = 309.66

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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.