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Finding the Fourth Proportional to 441.66, 609.39 and 286.38

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Solution

The fourth proportional to 441.66, 609.39 and 286.38 is: 395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.66 : 609.39 = 286.38 : x
  2. Step 2: Convert to fraction form
    441.66/609.39 = 286.38/x
  3. Step 3: Cross multiply
    441.66x = 609.39 × 286.38
  4. Step 4: Simplify right side
    441.66x = 174,517.11
  5. Step 5: Solve for x
    x = 174,517.11/441.66
  6. Step 6: Final answer
    x = 395.14

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Why These Related Problems?

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