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Finding the Fourth Proportional to 3.05, 4.57 and 2.82

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Solution

The fourth proportional to 3.05, 4.57 and 2.82 is: 4.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.05 : 4.57 = 2.82 : x
  2. Step 2: Convert to fraction form
    3.05/4.57 = 2.82/x
  3. Step 3: Cross multiply
    3.05x = 4.57 × 2.82
  4. Step 4: Simplify right side
    3.05x = 12.89
  5. Step 5: Solve for x
    x = 12.89/3.05
  6. Step 6: Final answer
    x = 4.23

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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.