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Finding the Fourth Proportional to 405.83, 609.12 and 222.97

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Solution

The fourth proportional to 405.83, 609.12 and 222.97 is: 334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.83 : 609.12 = 222.97 : x
  2. Step 2: Convert to fraction form
    405.83/609.12 = 222.97/x
  3. Step 3: Cross multiply
    405.83x = 609.12 × 222.97
  4. Step 4: Simplify right side
    405.83x = 135,815.11
  5. Step 5: Solve for x
    x = 135,815.11/405.83
  6. Step 6: Final answer
    x = 334.66

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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.