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Finding the Fourth Proportional to 406.14, 608.90 and 200.49

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Solution

The fourth proportional to 406.14, 608.90 and 200.49 is: 300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.14 : 608.90 = 200.49 : x
  2. Step 2: Convert to fraction form
    406.14/608.90 = 200.49/x
  3. Step 3: Cross multiply
    406.14x = 608.90 × 200.49
  4. Step 4: Simplify right side
    406.14x = 122,077.36
  5. Step 5: Solve for x
    x = 122,077.36/406.14
  6. Step 6: Final answer
    x = 300.58

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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.