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Finding the Fourth Proportional to 443.40, 664.80 and 306.12

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Solution

The fourth proportional to 443.40, 664.80 and 306.12 is: 458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.40 : 664.80 = 306.12 : x
  2. Step 2: Convert to fraction form
    443.40/664.80 = 306.12/x
  3. Step 3: Cross multiply
    443.40x = 664.80 × 306.12
  4. Step 4: Simplify right side
    443.40x = 203,508.58
  5. Step 5: Solve for x
    x = 203,508.58/443.40
  6. Step 6: Final answer
    x = 458.97

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Why These Related Problems?

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