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Finding the Fourth Proportional to 4.57, 6.83 and 2.30

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Solution

The fourth proportional to 4.57, 6.83 and 2.30 is: 3.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.57 : 6.83 = 2.30 : x
  2. Step 2: Convert to fraction form
    4.57/6.83 = 2.30/x
  3. Step 3: Cross multiply
    4.57x = 6.83 × 2.30
  4. Step 4: Simplify right side
    4.57x = 15.73
  5. Step 5: Solve for x
    x = 15.73/4.57
  6. Step 6: Final answer
    x = 3.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.