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Finding the Fourth Proportional to 405.31, 606.41 and 222.83

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Solution

The fourth proportional to 405.31, 606.41 and 222.83 is: 333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.31 : 606.41 = 222.83 : x
  2. Step 2: Convert to fraction form
    405.31/606.41 = 222.83/x
  3. Step 3: Cross multiply
    405.31x = 606.41 × 222.83
  4. Step 4: Simplify right side
    405.31x = 135,128.41
  5. Step 5: Solve for x
    x = 135,128.41/405.31
  6. Step 6: Final answer
    x = 333.40

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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.