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Finding the Fourth Proportional to 441.62, 609.42 and 264.49

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Solution

The fourth proportional to 441.62, 609.42 and 264.49 is: 364.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.62 : 609.42 = 264.49 : x
  2. Step 2: Convert to fraction form
    441.62/609.42 = 264.49/x
  3. Step 3: Cross multiply
    441.62x = 609.42 × 264.49
  4. Step 4: Simplify right side
    441.62x = 161,186.57
  5. Step 5: Solve for x
    x = 161,186.57/441.62
  6. Step 6: Final answer
    x = 364.99

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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.