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Finding the Fourth Proportional to 3.46, 5.20 and 2.80

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Solution

The fourth proportional to 3.46, 5.20 and 2.80 is: 4.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.46 : 5.20 = 2.80 : x
  2. Step 2: Convert to fraction form
    3.46/5.20 = 2.80/x
  3. Step 3: Cross multiply
    3.46x = 5.20 × 2.80
  4. Step 4: Simplify right side
    3.46x = 14.56
  5. Step 5: Solve for x
    x = 14.56/3.46
  6. Step 6: Final answer
    x = 4.21

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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.