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Finding the Fourth Proportional to 412.53, 617.81 and 206.84

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Solution

The fourth proportional to 412.53, 617.81 and 206.84 is: 309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.53 : 617.81 = 206.84 : x
  2. Step 2: Convert to fraction form
    412.53/617.81 = 206.84/x
  3. Step 3: Cross multiply
    412.53x = 617.81 × 206.84
  4. Step 4: Simplify right side
    412.53x = 127,783.70
  5. Step 5: Solve for x
    x = 127,783.70/412.53
  6. Step 6: Final answer
    x = 309.76

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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.