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Finding the Fourth Proportional to 280.24, 419.60 and 219.48

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Solution

The fourth proportional to 280.24, 419.60 and 219.48 is: 328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.24 : 419.60 = 219.48 : x
  2. Step 2: Convert to fraction form
    280.24/419.60 = 219.48/x
  3. Step 3: Cross multiply
    280.24x = 419.60 × 219.48
  4. Step 4: Simplify right side
    280.24x = 92,093.81
  5. Step 5: Solve for x
    x = 92,093.81/280.24
  6. Step 6: Final answer
    x = 328.62

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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.