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Finding the Fourth Proportional to 577.82, 797.36 and 329.20

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Solution

The fourth proportional to 577.82, 797.36 and 329.20 is: 454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.82 : 797.36 = 329.20 : x
  2. Step 2: Convert to fraction form
    577.82/797.36 = 329.20/x
  3. Step 3: Cross multiply
    577.82x = 797.36 × 329.20
  4. Step 4: Simplify right side
    577.82x = 262,490.91
  5. Step 5: Solve for x
    x = 262,490.91/577.82
  6. Step 6: Final answer
    x = 454.28

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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.