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Finding the Fourth Proportional to 276.70, 412.99 and 272.15

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Solution

The fourth proportional to 276.70, 412.99 and 272.15 is: 406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.70 : 412.99 = 272.15 : x
  2. Step 2: Convert to fraction form
    276.70/412.99 = 272.15/x
  3. Step 3: Cross multiply
    276.70x = 412.99 × 272.15
  4. Step 4: Simplify right side
    276.70x = 112,395.23
  5. Step 5: Solve for x
    x = 112,395.23/276.70
  6. Step 6: Final answer
    x = 406.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.