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Finding the Fourth Proportional to 406.09, 609.18 and 189.82

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Solution

The fourth proportional to 406.09, 609.18 and 189.82 is: 284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.09 : 609.18 = 189.82 : x
  2. Step 2: Convert to fraction form
    406.09/609.18 = 189.82/x
  3. Step 3: Cross multiply
    406.09x = 609.18 × 189.82
  4. Step 4: Simplify right side
    406.09x = 115,634.55
  5. Step 5: Solve for x
    x = 115,634.55/406.09
  6. Step 6: Final answer
    x = 284.75

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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.