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Finding the Fourth Proportional to 276.02, 379.69 and 274.14

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Solution

The fourth proportional to 276.02, 379.69 and 274.14 is: 377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.02 : 379.69 = 274.14 : x
  2. Step 2: Convert to fraction form
    276.02/379.69 = 274.14/x
  3. Step 3: Cross multiply
    276.02x = 379.69 × 274.14
  4. Step 4: Simplify right side
    276.02x = 104,088.22
  5. Step 5: Solve for x
    x = 104,088.22/276.02
  6. Step 6: Final answer
    x = 377.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.