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Finding the Fourth Proportional to 405.99, 609.03 and 223.29

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Solution

The fourth proportional to 405.99, 609.03 and 223.29 is: 334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.99 : 609.03 = 223.29 : x
  2. Step 2: Convert to fraction form
    405.99/609.03 = 223.29/x
  3. Step 3: Cross multiply
    405.99x = 609.03 × 223.29
  4. Step 4: Simplify right side
    405.99x = 135,990.31
  5. Step 5: Solve for x
    x = 135,990.31/405.99
  6. Step 6: Final answer
    x = 334.96

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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.