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Finding the Fourth Proportional to 664.80, 995.21 and 404.00

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Solution

The fourth proportional to 664.80, 995.21 and 404.00 is: 604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.80 : 995.21 = 404.00 : x
  2. Step 2: Convert to fraction form
    664.80/995.21 = 404.00/x
  3. Step 3: Cross multiply
    664.80x = 995.21 × 404.00
  4. Step 4: Simplify right side
    664.80x = 402,057.84
  5. Step 5: Solve for x
    x = 402,057.84/664.80
  6. Step 6: Final answer
    x = 604.78

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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.