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Finding the Fourth Proportional to 273.15, 409.77 and 257.85

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Solution

The fourth proportional to 273.15, 409.77 and 257.85 is: 386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.15 : 409.77 = 257.85 : x
  2. Step 2: Convert to fraction form
    273.15/409.77 = 257.85/x
  3. Step 3: Cross multiply
    273.15x = 409.77 × 257.85
  4. Step 4: Simplify right side
    273.15x = 105,659.19
  5. Step 5: Solve for x
    x = 105,659.19/273.15
  6. Step 6: Final answer
    x = 386.82

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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.