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Finding the Fourth Proportional to 577.16, 796.41 and 459.44

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Solution

The fourth proportional to 577.16, 796.41 and 459.44 is: 633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.16 : 796.41 = 459.44 : x
  2. Step 2: Convert to fraction form
    577.16/796.41 = 459.44/x
  3. Step 3: Cross multiply
    577.16x = 796.41 × 459.44
  4. Step 4: Simplify right side
    577.16x = 365,901.61
  5. Step 5: Solve for x
    x = 365,901.61/577.16
  6. Step 6: Final answer
    x = 633.97

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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.