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Finding the Fourth Proportional to 395.20, 593.06 and 273.25

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Solution

The fourth proportional to 395.20, 593.06 and 273.25 is: 410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.20 : 593.06 = 273.25 : x
  2. Step 2: Convert to fraction form
    395.20/593.06 = 273.25/x
  3. Step 3: Cross multiply
    395.20x = 593.06 × 273.25
  4. Step 4: Simplify right side
    395.20x = 162,053.02
  5. Step 5: Solve for x
    x = 162,053.02/395.20
  6. Step 6: Final answer
    x = 410.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.