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Finding the Fourth Proportional to 443.07, 663.84 and 306.09

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Solution

The fourth proportional to 443.07, 663.84 and 306.09 is: 458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.07 : 663.84 = 306.09 : x
  2. Step 2: Convert to fraction form
    443.07/663.84 = 306.09/x
  3. Step 3: Cross multiply
    443.07x = 663.84 × 306.09
  4. Step 4: Simplify right side
    443.07x = 203,194.79
  5. Step 5: Solve for x
    x = 203,194.79/443.07
  6. Step 6: Final answer
    x = 458.61

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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.