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Finding the Fourth Proportional to 276.52, 415.23 and 276.52

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Solution

The fourth proportional to 276.52, 415.23 and 276.52 is: 415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.52 : 415.23 = 276.52 : x
  2. Step 2: Convert to fraction form
    276.52/415.23 = 276.52/x
  3. Step 3: Cross multiply
    276.52x = 415.23 × 276.52
  4. Step 4: Simplify right side
    276.52x = 114,819.40
  5. Step 5: Solve for x
    x = 114,819.40/276.52
  6. Step 6: Final answer
    x = 415.23

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