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Finding the Fourth Proportional to 664.79, 917.30 and 399.15

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Solution

The fourth proportional to 664.79, 917.30 and 399.15 is: 550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.79 : 917.30 = 399.15 : x
  2. Step 2: Convert to fraction form
    664.79/917.30 = 399.15/x
  3. Step 3: Cross multiply
    664.79x = 917.30 × 399.15
  4. Step 4: Simplify right side
    664.79x = 366,138.30
  5. Step 5: Solve for x
    x = 366,138.30/664.79
  6. Step 6: Final answer
    x = 550.76

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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.