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Finding the Fourth Proportional to 276.84, 412.61 and 264.78

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Solution

The fourth proportional to 276.84, 412.61 and 264.78 is: 394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.84 : 412.61 = 264.78 : x
  2. Step 2: Convert to fraction form
    276.84/412.61 = 264.78/x
  3. Step 3: Cross multiply
    276.84x = 412.61 × 264.78
  4. Step 4: Simplify right side
    276.84x = 109,249.55
  5. Step 5: Solve for x
    x = 109,249.55/276.84
  6. Step 6: Final answer
    x = 394.63

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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.