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Finding the Fourth Proportional to 278.87, 415.22 and 274.95

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Solution

The fourth proportional to 278.87, 415.22 and 274.95 is: 409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.87 : 415.22 = 274.95 : x
  2. Step 2: Convert to fraction form
    278.87/415.22 = 274.95/x
  3. Step 3: Cross multiply
    278.87x = 415.22 × 274.95
  4. Step 4: Simplify right side
    278.87x = 114,163.36
  5. Step 5: Solve for x
    x = 114,163.36/278.87
  6. Step 6: Final answer
    x = 409.39

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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.