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Finding the Fourth Proportional to 577.04, 796.16 and 367.28

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Solution

The fourth proportional to 577.04, 796.16 and 367.28 is: 506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.04 : 796.16 = 367.28 : x
  2. Step 2: Convert to fraction form
    577.04/796.16 = 367.28/x
  3. Step 3: Cross multiply
    577.04x = 796.16 × 367.28
  4. Step 4: Simplify right side
    577.04x = 292,413.64
  5. Step 5: Solve for x
    x = 292,413.64/577.04
  6. Step 6: Final answer
    x = 506.75

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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.