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Finding the Fourth Proportional to 4.56, 6.83 and 3.05

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Solution

The fourth proportional to 4.56, 6.83 and 3.05 is: 4.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.56 : 6.83 = 3.05 : x
  2. Step 2: Convert to fraction form
    4.56/6.83 = 3.05/x
  3. Step 3: Cross multiply
    4.56x = 6.83 × 3.05
  4. Step 4: Simplify right side
    4.56x = 20.83
  5. Step 5: Solve for x
    x = 20.83/4.56
  6. Step 6: Final answer
    x = 4.57

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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.