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Finding the Fourth Proportional to 664.80, 917.36 and 366

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Solution

The fourth proportional to 664.80, 917.36 and 366 is: 505.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.80 : 917.36 = 366 : x
  2. Step 2: Convert to fraction form
    664.80/917.36 = 366/x
  3. Step 3: Cross multiply
    664.80x = 917.36 × 366
  4. Step 4: Simplify right side
    664.80x = 335,751.93
  5. Step 5: Solve for x
    x = 335,751.93/664.80
  6. Step 6: Final answer
    x = 505.04

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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.