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Finding the Fourth Proportional to 399.26, 550.74 and 268.28

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Solution

The fourth proportional to 399.26, 550.74 and 268.28 is: 370.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.26 : 550.74 = 268.28 : x
  2. Step 2: Convert to fraction form
    399.26/550.74 = 268.28/x
  3. Step 3: Cross multiply
    399.26x = 550.74 × 268.28
  4. Step 4: Simplify right side
    399.26x = 147,752.53
  5. Step 5: Solve for x
    x = 147,752.53/399.26
  6. Step 6: Final answer
    x = 370.07

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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.