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Finding the Fourth Proportional to 406, 608.05 and 223.41

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Solution

The fourth proportional to 406, 608.05 and 223.41 is: 334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 608.05 = 223.41 : x
  2. Step 2: Convert to fraction form
    406/608.05 = 223.41/x
  3. Step 3: Cross multiply
    406x = 608.05 × 223.41
  4. Step 4: Simplify right side
    406x = 135,844.45
  5. Step 5: Solve for x
    x = 135,844.45/406
  6. Step 6: Final answer
    x = 334.59

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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.