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Finding the Fourth Proportional to 577.97, 797.65 and 329.30

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Solution

The fourth proportional to 577.97, 797.65 and 329.30 is: 454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.97 : 797.65 = 329.30 : x
  2. Step 2: Convert to fraction form
    577.97/797.65 = 329.30/x
  3. Step 3: Cross multiply
    577.97x = 797.65 × 329.30
  4. Step 4: Simplify right side
    577.97x = 262,667.32
  5. Step 5: Solve for x
    x = 262,667.32/577.97
  6. Step 6: Final answer
    x = 454.46

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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.