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Finding the Fourth Proportional to 3, 4.46 and 2.85

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Solution

The fourth proportional to 3, 4.46 and 2.85 is: 4.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3 : 4.46 = 2.85 : x
  2. Step 2: Convert to fraction form
    3/4.46 = 2.85/x
  3. Step 3: Cross multiply
    3x = 4.46 × 2.85
  4. Step 4: Simplify right side
    3x = 12.70
  5. Step 5: Solve for x
    x = 12.70/3
  6. Step 6: Final answer
    x = 4.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.