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Finding the Fourth Proportional to 360.86, 496.73 and 325.27

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Solution

The fourth proportional to 360.86, 496.73 and 325.27 is: 447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.86 : 496.73 = 325.27 : x
  2. Step 2: Convert to fraction form
    360.86/496.73 = 325.27/x
  3. Step 3: Cross multiply
    360.86x = 496.73 × 325.27
  4. Step 4: Simplify right side
    360.86x = 161,570.01
  5. Step 5: Solve for x
    x = 161,570.01/360.86
  6. Step 6: Final answer
    x = 447.74

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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.