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Finding the Fourth Proportional to 3.44, 4.76 and 2.83

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Solution

The fourth proportional to 3.44, 4.76 and 2.83 is: 3.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.44 : 4.76 = 2.83 : x
  2. Step 2: Convert to fraction form
    3.44/4.76 = 2.83/x
  3. Step 3: Cross multiply
    3.44x = 4.76 × 2.83
  4. Step 4: Simplify right side
    3.44x = 13.47
  5. Step 5: Solve for x
    x = 13.47/3.44
  6. Step 6: Final answer
    x = 3.92

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Why These Related Problems?

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