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Finding the Fourth Proportional to 276.77, 415.30 and 233.23

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Solution

The fourth proportional to 276.77, 415.30 and 233.23 is: 349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.77 : 415.30 = 233.23 : x
  2. Step 2: Convert to fraction form
    276.77/415.30 = 233.23/x
  3. Step 3: Cross multiply
    276.77x = 415.30 × 233.23
  4. Step 4: Simplify right side
    276.77x = 96,858.80
  5. Step 5: Solve for x
    x = 96,858.80/276.77
  6. Step 6: Final answer
    x = 349.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.