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Finding the Fourth Proportional to 664.70, 917.38 and 399.14

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Solution

The fourth proportional to 664.70, 917.38 and 399.14 is: 550.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.70 : 917.38 = 399.14 : x
  2. Step 2: Convert to fraction form
    664.70/917.38 = 399.14/x
  3. Step 3: Cross multiply
    664.70x = 917.38 × 399.14
  4. Step 4: Simplify right side
    664.70x = 366,163.05
  5. Step 5: Solve for x
    x = 366,163.05/664.70
  6. Step 6: Final answer
    x = 550.87

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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.