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Finding the Fourth Proportional to 276.25, 414.02 and 211.01

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Solution

The fourth proportional to 276.25, 414.02 and 211.01 is: 316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.25 : 414.02 = 211.01 : x
  2. Step 2: Convert to fraction form
    276.25/414.02 = 211.01/x
  3. Step 3: Cross multiply
    276.25x = 414.02 × 211.01
  4. Step 4: Simplify right side
    276.25x = 87,362.36
  5. Step 5: Solve for x
    x = 87,362.36/276.25
  6. Step 6: Final answer
    x = 316.24

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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.