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Finding the Fourth Proportional to 406.56, 609.06 and 224.04

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Solution

The fourth proportional to 406.56, 609.06 and 224.04 is: 335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.56 : 609.06 = 224.04 : x
  2. Step 2: Convert to fraction form
    406.56/609.06 = 224.04/x
  3. Step 3: Cross multiply
    406.56x = 609.06 × 224.04
  4. Step 4: Simplify right side
    406.56x = 136,453.80
  5. Step 5: Solve for x
    x = 136,453.80/406.56
  6. Step 6: Final answer
    x = 335.63

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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.