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Finding the Fourth Proportional to 280.24, 419.12 and 241.36

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Solution

The fourth proportional to 280.24, 419.12 and 241.36 is: 360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.24 : 419.12 = 241.36 : x
  2. Step 2: Convert to fraction form
    280.24/419.12 = 241.36/x
  3. Step 3: Cross multiply
    280.24x = 419.12 × 241.36
  4. Step 4: Simplify right side
    280.24x = 101,158.80
  5. Step 5: Solve for x
    x = 101,158.80/280.24
  6. Step 6: Final answer
    x = 360.97

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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.