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Finding the Fourth Proportional to 6.30, 9.46 and 1.80

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Solution

The fourth proportional to 6.30, 9.46 and 1.80 is: 2.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.30 : 9.46 = 1.80 : x
  2. Step 2: Convert to fraction form
    6.30/9.46 = 1.80/x
  3. Step 3: Cross multiply
    6.30x = 9.46 × 1.80
  4. Step 4: Simplify right side
    6.30x = 16.97
  5. Step 5: Solve for x
    x = 16.97/6.30
  6. Step 6: Final answer
    x = 2.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.