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Finding the Fourth Proportional to 577.56, 796.86 and 328.80

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Solution

The fourth proportional to 577.56, 796.86 and 328.80 is: 453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.56 : 796.86 = 328.80 : x
  2. Step 2: Convert to fraction form
    577.56/796.86 = 328.80/x
  3. Step 3: Cross multiply
    577.56x = 796.86 × 328.80
  4. Step 4: Simplify right side
    577.56x = 262,007.57
  5. Step 5: Solve for x
    x = 262,007.57/577.56
  6. Step 6: Final answer
    x = 453.65

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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.