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Finding the Fourth Proportional to 664.65, 917.23 and 399

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Solution

The fourth proportional to 664.65, 917.23 and 399 is: 550.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.65 : 917.23 = 399 : x
  2. Step 2: Convert to fraction form
    664.65/917.23 = 399/x
  3. Step 3: Cross multiply
    664.65x = 917.23 × 399
  4. Step 4: Simplify right side
    664.65x = 365,974.77
  5. Step 5: Solve for x
    x = 365,974.77/664.65
  6. Step 6: Final answer
    x = 550.63

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