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Finding the Fourth Proportional to 405, 606.56 and 222.41

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Solution

The fourth proportional to 405, 606.56 and 222.41 is: 333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405 : 606.56 = 222.41 : x
  2. Step 2: Convert to fraction form
    405/606.56 = 222.41/x
  3. Step 3: Cross multiply
    405x = 606.56 × 222.41
  4. Step 4: Simplify right side
    405x = 134,905.41
  5. Step 5: Solve for x
    x = 134,905.41/405
  6. Step 6: Final answer
    x = 333.10

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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.