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Finding the Fourth Proportional to 259.98, 390.20 and 219.43

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Solution

The fourth proportional to 259.98, 390.20 and 219.43 is: 329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.98 : 390.20 = 219.43 : x
  2. Step 2: Convert to fraction form
    259.98/390.20 = 219.43/x
  3. Step 3: Cross multiply
    259.98x = 390.20 × 219.43
  4. Step 4: Simplify right side
    259.98x = 85,621.80
  5. Step 5: Solve for x
    x = 85,621.80/259.98
  6. Step 6: Final answer
    x = 329.34

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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.