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Finding the Fourth Proportional to 664.09, 995.49 and 355.73

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Solution

The fourth proportional to 664.09, 995.49 and 355.73 is: 533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.09 : 995.49 = 355.73 : x
  2. Step 2: Convert to fraction form
    664.09/995.49 = 355.73/x
  3. Step 3: Cross multiply
    664.09x = 995.49 × 355.73
  4. Step 4: Simplify right side
    664.09x = 354,125.66
  5. Step 5: Solve for x
    x = 354,125.66/664.09
  6. Step 6: Final answer
    x = 533.25

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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.