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Finding the Fourth Proportional to 276.48, 415.40 and 233.60

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Solution

The fourth proportional to 276.48, 415.40 and 233.60 is: 350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.48 : 415.40 = 233.60 : x
  2. Step 2: Convert to fraction form
    276.48/415.40 = 233.60/x
  3. Step 3: Cross multiply
    276.48x = 415.40 × 233.60
  4. Step 4: Simplify right side
    276.48x = 97,037.44
  5. Step 5: Solve for x
    x = 97,037.44/276.48
  6. Step 6: Final answer
    x = 350.97

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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.