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Finding the Fourth Proportional to 393.55, 589.38 and 219.79

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Solution

The fourth proportional to 393.55, 589.38 and 219.79 is: 329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.55 : 589.38 = 219.79 : x
  2. Step 2: Convert to fraction form
    393.55/589.38 = 219.79/x
  3. Step 3: Cross multiply
    393.55x = 589.38 × 219.79
  4. Step 4: Simplify right side
    393.55x = 129,539.83
  5. Step 5: Solve for x
    x = 129,539.83/393.55
  6. Step 6: Final answer
    x = 329.16

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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.