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Finding the Fourth Proportional to 276.56, 414.60 and 236.24

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Solution

The fourth proportional to 276.56, 414.60 and 236.24 is: 354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.56 : 414.60 = 236.24 : x
  2. Step 2: Convert to fraction form
    276.56/414.60 = 236.24/x
  3. Step 3: Cross multiply
    276.56x = 414.60 × 236.24
  4. Step 4: Simplify right side
    276.56x = 97,945.10
  5. Step 5: Solve for x
    x = 97,945.10/276.56
  6. Step 6: Final answer
    x = 354.15

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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.