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Finding the Fourth Proportional to 370.71, 512.37 and 273.15

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Solution

The fourth proportional to 370.71, 512.37 and 273.15 is: 377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.71 : 512.37 = 273.15 : x
  2. Step 2: Convert to fraction form
    370.71/512.37 = 273.15/x
  3. Step 3: Cross multiply
    370.71x = 512.37 × 273.15
  4. Step 4: Simplify right side
    370.71x = 139,953.87
  5. Step 5: Solve for x
    x = 139,953.87/370.71
  6. Step 6: Final answer
    x = 377.53

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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.