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Finding the Fourth Proportional to 405.09, 608.00 and 222.86

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Solution

The fourth proportional to 405.09, 608.00 and 222.86 is: 334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.09 : 608.00 = 222.86 : x
  2. Step 2: Convert to fraction form
    405.09/608.00 = 222.86/x
  3. Step 3: Cross multiply
    405.09x = 608.00 × 222.86
  4. Step 4: Simplify right side
    405.09x = 135,494.73
  5. Step 5: Solve for x
    x = 135,494.73/405.09
  6. Step 6: Final answer
    x = 334.48

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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.