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Finding the Fourth Proportional to 406.46, 609.33 and 162.82

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Solution

The fourth proportional to 406.46, 609.33 and 162.82 is: 244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.46 : 609.33 = 162.82 : x
  2. Step 2: Convert to fraction form
    406.46/609.33 = 162.82/x
  3. Step 3: Cross multiply
    406.46x = 609.33 × 162.82
  4. Step 4: Simplify right side
    406.46x = 99,212.48
  5. Step 5: Solve for x
    x = 99,212.48/406.46
  6. Step 6: Final answer
    x = 244.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.