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Finding the Fourth Proportional to 273.72, 411.12 and 264

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Solution

The fourth proportional to 273.72, 411.12 and 264 is: 396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.72 : 411.12 = 264 : x
  2. Step 2: Convert to fraction form
    273.72/411.12 = 264/x
  3. Step 3: Cross multiply
    273.72x = 411.12 × 264
  4. Step 4: Simplify right side
    273.72x = 108,535.68
  5. Step 5: Solve for x
    x = 108,535.68/273.72
  6. Step 6: Final answer
    x = 396.52

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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.