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Finding the Fourth Proportional to 412.16, 617.65 and 206.44

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Solution

The fourth proportional to 412.16, 617.65 and 206.44 is: 309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.16 : 617.65 = 206.44 : x
  2. Step 2: Convert to fraction form
    412.16/617.65 = 206.44/x
  3. Step 3: Cross multiply
    412.16x = 617.65 × 206.44
  4. Step 4: Simplify right side
    412.16x = 127,507.67
  5. Step 5: Solve for x
    x = 127,507.67/412.16
  6. Step 6: Final answer
    x = 309.36

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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.