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Finding the Fourth Proportional to 306.12, 456.46 and 300.66

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Solution

The fourth proportional to 306.12, 456.46 and 300.66 is: 448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.12 : 456.46 = 300.66 : x
  2. Step 2: Convert to fraction form
    306.12/456.46 = 300.66/x
  3. Step 3: Cross multiply
    306.12x = 456.46 × 300.66
  4. Step 4: Simplify right side
    306.12x = 137,236.80
  5. Step 5: Solve for x
    x = 137,236.80/306.12
  6. Step 6: Final answer
    x = 448.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.