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Finding the Fourth Proportional to 577.36, 796.81 and 328.76

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Solution

The fourth proportional to 577.36, 796.81 and 328.76 is: 453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.36 : 796.81 = 328.76 : x
  2. Step 2: Convert to fraction form
    577.36/796.81 = 328.76/x
  3. Step 3: Cross multiply
    577.36x = 796.81 × 328.76
  4. Step 4: Simplify right side
    577.36x = 261,958.43
  5. Step 5: Solve for x
    x = 261,958.43/577.36
  6. Step 6: Final answer
    x = 453.72

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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.