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Finding the Fourth Proportional to 441.69, 609.46 and 294.09

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Solution

The fourth proportional to 441.69, 609.46 and 294.09 is: 405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.69 : 609.46 = 294.09 : x
  2. Step 2: Convert to fraction form
    441.69/609.46 = 294.09/x
  3. Step 3: Cross multiply
    441.69x = 609.46 × 294.09
  4. Step 4: Simplify right side
    441.69x = 179,236.09
  5. Step 5: Solve for x
    x = 179,236.09/441.69
  6. Step 6: Final answer
    x = 405.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.