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Finding the Fourth Proportional to 276.45, 412.54 and 245.78

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Solution

The fourth proportional to 276.45, 412.54 and 245.78 is: 366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.45 : 412.54 = 245.78 : x
  2. Step 2: Convert to fraction form
    276.45/412.54 = 245.78/x
  3. Step 3: Cross multiply
    276.45x = 412.54 × 245.78
  4. Step 4: Simplify right side
    276.45x = 101,390.79
  5. Step 5: Solve for x
    x = 101,390.79/276.45
  6. Step 6: Final answer
    x = 366.76

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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.