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Finding the Fourth Proportional to 664.69, 917.37 and 399.16

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Solution

The fourth proportional to 664.69, 917.37 and 399.16 is: 550.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.69 : 917.37 = 399.16 : x
  2. Step 2: Convert to fraction form
    664.69/917.37 = 399.16/x
  3. Step 3: Cross multiply
    664.69x = 917.37 × 399.16
  4. Step 4: Simplify right side
    664.69x = 366,177.41
  5. Step 5: Solve for x
    x = 366,177.41/664.69
  6. Step 6: Final answer
    x = 550.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.