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Finding the Fourth Proportional to 395.47, 593.27 and 179.07

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Solution

The fourth proportional to 395.47, 593.27 and 179.07 is: 268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.47 : 593.27 = 179.07 : x
  2. Step 2: Convert to fraction form
    395.47/593.27 = 179.07/x
  3. Step 3: Cross multiply
    395.47x = 593.27 × 179.07
  4. Step 4: Simplify right side
    395.47x = 106,236.86
  5. Step 5: Solve for x
    x = 106,236.86/395.47
  6. Step 6: Final answer
    x = 268.63

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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.