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Finding the Fourth Proportional to 3.30, 4.55 and 2.00

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Solution

The fourth proportional to 3.30, 4.55 and 2.00 is: 2.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.30 : 4.55 = 2.00 : x
  2. Step 2: Convert to fraction form
    3.30/4.55 = 2.00/x
  3. Step 3: Cross multiply
    3.30x = 4.55 × 2.00
  4. Step 4: Simplify right side
    3.30x = 9.12
  5. Step 5: Solve for x
    x = 9.12/3.30
  6. Step 6: Final answer
    x = 2.77

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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.