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Finding the Fourth Proportional to 443.95, 664.40 and 306.07

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Solution

The fourth proportional to 443.95, 664.40 and 306.07 is: 458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.95 : 664.40 = 306.07 : x
  2. Step 2: Convert to fraction form
    443.95/664.40 = 306.07/x
  3. Step 3: Cross multiply
    443.95x = 664.40 × 306.07
  4. Step 4: Simplify right side
    443.95x = 203,351.38
  5. Step 5: Solve for x
    x = 203,351.38/443.95
  6. Step 6: Final answer
    x = 458.05

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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.