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Finding the Fourth Proportional to 296.73, 408.96 and 280.31

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Solution

The fourth proportional to 296.73, 408.96 and 280.31 is: 386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.73 : 408.96 = 280.31 : x
  2. Step 2: Convert to fraction form
    296.73/408.96 = 280.31/x
  3. Step 3: Cross multiply
    296.73x = 408.96 × 280.31
  4. Step 4: Simplify right side
    296.73x = 114,633.53
  5. Step 5: Solve for x
    x = 114,633.53/296.73
  6. Step 6: Final answer
    x = 386.32

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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.