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Finding the Fourth Proportional to 286.04, 396.56 and 276.02

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Solution

The fourth proportional to 286.04, 396.56 and 276.02 is: 382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.04 : 396.56 = 276.02 : x
  2. Step 2: Convert to fraction form
    286.04/396.56 = 276.02/x
  3. Step 3: Cross multiply
    286.04x = 396.56 × 276.02
  4. Step 4: Simplify right side
    286.04x = 109,458.49
  5. Step 5: Solve for x
    x = 109,458.49/286.04
  6. Step 6: Final answer
    x = 382.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.