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Finding the Fourth Proportional to 443.04, 664.12 and 406.59

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Solution

The fourth proportional to 443.04, 664.12 and 406.59 is: 609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.04 : 664.12 = 406.59 : x
  2. Step 2: Convert to fraction form
    443.04/664.12 = 406.59/x
  3. Step 3: Cross multiply
    443.04x = 664.12 × 406.59
  4. Step 4: Simplify right side
    443.04x = 270,024.55
  5. Step 5: Solve for x
    x = 270,024.55/443.04
  6. Step 6: Final answer
    x = 609.48

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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.