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Finding the Fourth Proportional to 577.94, 797.42 and 329.22

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Solution

The fourth proportional to 577.94, 797.42 and 329.22 is: 454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.94 : 797.42 = 329.22 : x
  2. Step 2: Convert to fraction form
    577.94/797.42 = 329.22/x
  3. Step 3: Cross multiply
    577.94x = 797.42 × 329.22
  4. Step 4: Simplify right side
    577.94x = 262,527.44
  5. Step 5: Solve for x
    x = 262,527.44/577.94
  6. Step 6: Final answer
    x = 454.25

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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.