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Finding the Fourth Proportional to 276.08, 411.37 and 265.61

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Solution

The fourth proportional to 276.08, 411.37 and 265.61 is: 395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.08 : 411.37 = 265.61 : x
  2. Step 2: Convert to fraction form
    276.08/411.37 = 265.61/x
  3. Step 3: Cross multiply
    276.08x = 411.37 × 265.61
  4. Step 4: Simplify right side
    276.08x = 109,264.35
  5. Step 5: Solve for x
    x = 109,264.35/276.08
  6. Step 6: Final answer
    x = 395.78

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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.