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Finding the Fourth Proportional to 406.23, 608.81 and 223.23

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Solution

The fourth proportional to 406.23, 608.81 and 223.23 is: 334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.23 : 608.81 = 223.23 : x
  2. Step 2: Convert to fraction form
    406.23/608.81 = 223.23/x
  3. Step 3: Cross multiply
    406.23x = 608.81 × 223.23
  4. Step 4: Simplify right side
    406.23x = 135,903.54
  5. Step 5: Solve for x
    x = 135,903.54/406.23
  6. Step 6: Final answer
    x = 334.55

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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.