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Finding the Fourth Proportional to 577.84, 797.46 and 329.24

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Solution

The fourth proportional to 577.84, 797.46 and 329.24 is: 454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.84 : 797.46 = 329.24 : x
  2. Step 2: Convert to fraction form
    577.84/797.46 = 329.24/x
  3. Step 3: Cross multiply
    577.84x = 797.46 × 329.24
  4. Step 4: Simplify right side
    577.84x = 262,555.73
  5. Step 5: Solve for x
    x = 262,555.73/577.84
  6. Step 6: Final answer
    x = 454.37

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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.