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Finding the Fourth Proportional to 664.09, 998.07 and 445.45

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Solution

The fourth proportional to 664.09, 998.07 and 445.45 is: 669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.09 : 998.07 = 445.45 : x
  2. Step 2: Convert to fraction form
    664.09/998.07 = 445.45/x
  3. Step 3: Cross multiply
    664.09x = 998.07 × 445.45
  4. Step 4: Simplify right side
    664.09x = 444,590.28
  5. Step 5: Solve for x
    x = 444,590.28/664.09
  6. Step 6: Final answer
    x = 669.47

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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.