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Finding the Fourth Proportional to 412.23, 617.86 and 206.94

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Solution

The fourth proportional to 412.23, 617.86 and 206.94 is: 310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.23 : 617.86 = 206.94 : x
  2. Step 2: Convert to fraction form
    412.23/617.86 = 206.94/x
  3. Step 3: Cross multiply
    412.23x = 617.86 × 206.94
  4. Step 4: Simplify right side
    412.23x = 127,859.95
  5. Step 5: Solve for x
    x = 127,859.95/412.23
  6. Step 6: Final answer
    x = 310.17

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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.