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Finding the Fourth Proportional to 331.92, 495.84 and 280.32

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Solution

The fourth proportional to 331.92, 495.84 and 280.32 is: 418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.92 : 495.84 = 280.32 : x
  2. Step 2: Convert to fraction form
    331.92/495.84 = 280.32/x
  3. Step 3: Cross multiply
    331.92x = 495.84 × 280.32
  4. Step 4: Simplify right side
    331.92x = 138,993.87
  5. Step 5: Solve for x
    x = 138,993.87/331.92
  6. Step 6: Final answer
    x = 418.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.