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Finding the Fourth Proportional to 406.06, 608.64 and 200.78

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Solution

The fourth proportional to 406.06, 608.64 and 200.78 is: 300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.06 : 608.64 = 200.78 : x
  2. Step 2: Convert to fraction form
    406.06/608.64 = 200.78/x
  3. Step 3: Cross multiply
    406.06x = 608.64 × 200.78
  4. Step 4: Simplify right side
    406.06x = 122,198.94
  5. Step 5: Solve for x
    x = 122,198.94/406.06
  6. Step 6: Final answer
    x = 300.94

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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.