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Finding the Fourth Proportional to 4.00, 5.52 and 2.46

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Solution

The fourth proportional to 4.00, 5.52 and 2.46 is: 3.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.00 : 5.52 = 2.46 : x
  2. Step 2: Convert to fraction form
    4.00/5.52 = 2.46/x
  3. Step 3: Cross multiply
    4.00x = 5.52 × 2.46
  4. Step 4: Simplify right side
    4.00x = 13.59
  5. Step 5: Solve for x
    x = 13.59/4.00
  6. Step 6: Final answer
    x = 3.40

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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.