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Finding the Fourth Proportional to 393.18, 589.77 and 115.55

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Solution

The fourth proportional to 393.18, 589.77 and 115.55 is: 173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.18 : 589.77 = 115.55 : x
  2. Step 2: Convert to fraction form
    393.18/589.77 = 115.55/x
  3. Step 3: Cross multiply
    393.18x = 589.77 × 115.55
  4. Step 4: Simplify right side
    393.18x = 68,147.19
  5. Step 5: Solve for x
    x = 68,147.19/393.18
  6. Step 6: Final answer
    x = 173.32

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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.