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Finding the Fourth Proportional to 577.47, 796.94 and 328.80

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Solution

The fourth proportional to 577.47, 796.94 and 328.80 is: 453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.47 : 796.94 = 328.80 : x
  2. Step 2: Convert to fraction form
    577.47/796.94 = 328.80/x
  3. Step 3: Cross multiply
    577.47x = 796.94 × 328.80
  4. Step 4: Simplify right side
    577.47x = 262,033.87
  5. Step 5: Solve for x
    x = 262,033.87/577.47
  6. Step 6: Final answer
    x = 453.76

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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.