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Finding the Fourth Proportional to 441.52, 609.02 and 286.26

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Solution

The fourth proportional to 441.52, 609.02 and 286.26 is: 394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.52 : 609.02 = 286.26 : x
  2. Step 2: Convert to fraction form
    441.52/609.02 = 286.26/x
  3. Step 3: Cross multiply
    441.52x = 609.02 × 286.26
  4. Step 4: Simplify right side
    441.52x = 174,338.07
  5. Step 5: Solve for x
    x = 174,338.07/441.52
  6. Step 6: Final answer
    x = 394.86

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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.