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Finding the Fourth Proportional to 408.97, 564.84 and 277.75

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Solution

The fourth proportional to 408.97, 564.84 and 277.75 is: 383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.97 : 564.84 = 277.75 : x
  2. Step 2: Convert to fraction form
    408.97/564.84 = 277.75/x
  3. Step 3: Cross multiply
    408.97x = 564.84 × 277.75
  4. Step 4: Simplify right side
    408.97x = 156,884.31
  5. Step 5: Solve for x
    x = 156,884.31/408.97
  6. Step 6: Final answer
    x = 383.61

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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.