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Finding the Fourth Proportional to 443.68, 664.41 and 289.12

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Solution

The fourth proportional to 443.68, 664.41 and 289.12 is: 432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.68 : 664.41 = 289.12 : x
  2. Step 2: Convert to fraction form
    443.68/664.41 = 289.12/x
  3. Step 3: Cross multiply
    443.68x = 664.41 × 289.12
  4. Step 4: Simplify right side
    443.68x = 192,094.22
  5. Step 5: Solve for x
    x = 192,094.22/443.68
  6. Step 6: Final answer
    x = 432.96

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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.