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Finding the Fourth Proportional to 340.27, 468.79 and 287.73

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Solution

The fourth proportional to 340.27, 468.79 and 287.73 is: 396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.27 : 468.79 = 287.73 : x
  2. Step 2: Convert to fraction form
    340.27/468.79 = 287.73/x
  3. Step 3: Cross multiply
    340.27x = 468.79 × 287.73
  4. Step 4: Simplify right side
    340.27x = 134,884.95
  5. Step 5: Solve for x
    x = 134,884.95/340.27
  6. Step 6: Final answer
    x = 396.41

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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.