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Finding the Fourth Proportional to 280.92, 419.72 and 271.36

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Solution

The fourth proportional to 280.92, 419.72 and 271.36 is: 405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.92 : 419.72 = 271.36 : x
  2. Step 2: Convert to fraction form
    280.92/419.72 = 271.36/x
  3. Step 3: Cross multiply
    280.92x = 419.72 × 271.36
  4. Step 4: Simplify right side
    280.92x = 113,895.22
  5. Step 5: Solve for x
    x = 113,895.22/280.92
  6. Step 6: Final answer
    x = 405.44

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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.