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Finding the Fourth Proportional to 280.84, 419.24 and 262.48

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Solution

The fourth proportional to 280.84, 419.24 and 262.48 is: 391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.84 : 419.24 = 262.48 : x
  2. Step 2: Convert to fraction form
    280.84/419.24 = 262.48/x
  3. Step 3: Cross multiply
    280.84x = 419.24 × 262.48
  4. Step 4: Simplify right side
    280.84x = 110,042.12
  5. Step 5: Solve for x
    x = 110,042.12/280.84
  6. Step 6: Final answer
    x = 391.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.