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Finding the Fourth Proportional to 577.23, 796.16 and 367.20

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Solution

The fourth proportional to 577.23, 796.16 and 367.20 is: 506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.23 : 796.16 = 367.20 : x
  2. Step 2: Convert to fraction form
    577.23/796.16 = 367.20/x
  3. Step 3: Cross multiply
    577.23x = 796.16 × 367.20
  4. Step 4: Simplify right side
    577.23x = 292,350.87
  5. Step 5: Solve for x
    x = 292,350.87/577.23
  6. Step 6: Final answer
    x = 506.48

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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.