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Finding the Fourth Proportional to 405.44, 608.25 and 222.74

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Solution

The fourth proportional to 405.44, 608.25 and 222.74 is: 334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.44 : 608.25 = 222.74 : x
  2. Step 2: Convert to fraction form
    405.44/608.25 = 222.74/x
  3. Step 3: Cross multiply
    405.44x = 608.25 × 222.74
  4. Step 4: Simplify right side
    405.44x = 135,481.61
  5. Step 5: Solve for x
    x = 135,481.61/405.44
  6. Step 6: Final answer
    x = 334.16

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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.