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Finding the Fourth Proportional to 276.32, 412.23 and 263.27

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Solution

The fourth proportional to 276.32, 412.23 and 263.27 is: 392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.32 : 412.23 = 263.27 : x
  2. Step 2: Convert to fraction form
    276.32/412.23 = 263.27/x
  3. Step 3: Cross multiply
    276.32x = 412.23 × 263.27
  4. Step 4: Simplify right side
    276.32x = 108,525.73
  5. Step 5: Solve for x
    x = 108,525.73/276.32
  6. Step 6: Final answer
    x = 392.76

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