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Finding the Fourth Proportional to 423.92, 635.78 and 215.48

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Solution

The fourth proportional to 423.92, 635.78 and 215.48 is: 323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.92 : 635.78 = 215.48 : x
  2. Step 2: Convert to fraction form
    423.92/635.78 = 215.48/x
  3. Step 3: Cross multiply
    423.92x = 635.78 × 215.48
  4. Step 4: Simplify right side
    423.92x = 136,997.87
  5. Step 5: Solve for x
    x = 136,997.87/423.92
  6. Step 6: Final answer
    x = 323.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.