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Finding the Fourth Proportional to 273.61, 409.47 and 262.27

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Solution

The fourth proportional to 273.61, 409.47 and 262.27 is: 392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.61 : 409.47 = 262.27 : x
  2. Step 2: Convert to fraction form
    273.61/409.47 = 262.27/x
  3. Step 3: Cross multiply
    273.61x = 409.47 × 262.27
  4. Step 4: Simplify right side
    273.61x = 107,391.70
  5. Step 5: Solve for x
    x = 107,391.70/273.61
  6. Step 6: Final answer
    x = 392.50

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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.