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Finding the Fourth Proportional to 398.93, 550.27 and 288.57

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Solution

The fourth proportional to 398.93, 550.27 and 288.57 is: 398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.93 : 550.27 = 288.57 : x
  2. Step 2: Convert to fraction form
    398.93/550.27 = 288.57/x
  3. Step 3: Cross multiply
    398.93x = 550.27 × 288.57
  4. Step 4: Simplify right side
    398.93x = 158,791.41
  5. Step 5: Solve for x
    x = 158,791.41/398.93
  6. Step 6: Final answer
    x = 398.04

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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.