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Finding the Fourth Proportional to 420.57, 580.20 and 273.15

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Solution

The fourth proportional to 420.57, 580.20 and 273.15 is: 376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.57 : 580.20 = 273.15 : x
  2. Step 2: Convert to fraction form
    420.57/580.20 = 273.15/x
  3. Step 3: Cross multiply
    420.57x = 580.20 × 273.15
  4. Step 4: Simplify right side
    420.57x = 158,481.63
  5. Step 5: Solve for x
    x = 158,481.63/420.57
  6. Step 6: Final answer
    x = 376.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.