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Finding the Fourth Proportional to 278.44, 414.15 and 277.50

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Solution

The fourth proportional to 278.44, 414.15 and 277.50 is: 412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.44 : 414.15 = 277.50 : x
  2. Step 2: Convert to fraction form
    278.44/414.15 = 277.50/x
  3. Step 3: Cross multiply
    278.44x = 414.15 × 277.50
  4. Step 4: Simplify right side
    278.44x = 114,928.31
  5. Step 5: Solve for x
    x = 114,928.31/278.44
  6. Step 6: Final answer
    x = 412.76

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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.