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Finding the Fourth Proportional to 577.67, 796.52 and 459.41

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Solution

The fourth proportional to 577.67, 796.52 and 459.41 is: 633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.67 : 796.52 = 459.41 : x
  2. Step 2: Convert to fraction form
    577.67/796.52 = 459.41/x
  3. Step 3: Cross multiply
    577.67x = 796.52 × 459.41
  4. Step 4: Simplify right side
    577.67x = 365,922.97
  5. Step 5: Solve for x
    x = 365,922.97/577.67
  6. Step 6: Final answer
    x = 633.45

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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.