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Finding the Fourth Proportional to 441.43, 661.26 and 268.00

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Solution

The fourth proportional to 441.43, 661.26 and 268.00 is: 401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.43 : 661.26 = 268.00 : x
  2. Step 2: Convert to fraction form
    441.43/661.26 = 268.00/x
  3. Step 3: Cross multiply
    441.43x = 661.26 × 268.00
  4. Step 4: Simplify right side
    441.43x = 177,214.37
  5. Step 5: Solve for x
    x = 177,214.37/441.43
  6. Step 6: Final answer
    x = 401.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.