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Finding the Fourth Proportional to 392.45, 589.01 and 219.29

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Solution

The fourth proportional to 392.45, 589.01 and 219.29 is: 329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.45 : 589.01 = 219.29 : x
  2. Step 2: Convert to fraction form
    392.45/589.01 = 219.29/x
  3. Step 3: Cross multiply
    392.45x = 589.01 × 219.29
  4. Step 4: Simplify right side
    392.45x = 129,164.00
  5. Step 5: Solve for x
    x = 129,164.00/392.45
  6. Step 6: Final answer
    x = 329.12

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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.