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Finding the Fourth Proportional to 404.13, 604.89 and 221.07

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Solution

The fourth proportional to 404.13, 604.89 and 221.07 is: 330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.13 : 604.89 = 221.07 : x
  2. Step 2: Convert to fraction form
    404.13/604.89 = 221.07/x
  3. Step 3: Cross multiply
    404.13x = 604.89 × 221.07
  4. Step 4: Simplify right side
    404.13x = 133,723.03
  5. Step 5: Solve for x
    x = 133,723.03/404.13
  6. Step 6: Final answer
    x = 330.89

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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.