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Finding the Fourth Proportional to 395.96, 593.96 and 122.08

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Solution

The fourth proportional to 395.96, 593.96 and 122.08 is: 183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.96 : 593.96 = 122.08 : x
  2. Step 2: Convert to fraction form
    395.96/593.96 = 122.08/x
  3. Step 3: Cross multiply
    395.96x = 593.96 × 122.08
  4. Step 4: Simplify right side
    395.96x = 72,509.74
  5. Step 5: Solve for x
    x = 72,509.74/395.96
  6. Step 6: Final answer
    x = 183.12

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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.