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Finding the Fourth Proportional to 280.28, 419.67 and 219.12

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Solution

The fourth proportional to 280.28, 419.67 and 219.12 is: 328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.28 : 419.67 = 219.12 : x
  2. Step 2: Convert to fraction form
    280.28/419.67 = 219.12/x
  3. Step 3: Cross multiply
    280.28x = 419.67 × 219.12
  4. Step 4: Simplify right side
    280.28x = 91,958.09
  5. Step 5: Solve for x
    x = 91,958.09/280.28
  6. Step 6: Final answer
    x = 328.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.