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Finding the Fourth Proportional to 3.46, 4.77 and 2.24

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Solution

The fourth proportional to 3.46, 4.77 and 2.24 is: 3.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.46 : 4.77 = 2.24 : x
  2. Step 2: Convert to fraction form
    3.46/4.77 = 2.24/x
  3. Step 3: Cross multiply
    3.46x = 4.77 × 2.24
  4. Step 4: Simplify right side
    3.46x = 10.70
  5. Step 5: Solve for x
    x = 10.70/3.46
  6. Step 6: Final answer
    x = 3.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.