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Finding the Fourth Proportional to 579.45, 799.65 and 327.42

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Solution

The fourth proportional to 579.45, 799.65 and 327.42 is: 451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.45 : 799.65 = 327.42 : x
  2. Step 2: Convert to fraction form
    579.45/799.65 = 327.42/x
  3. Step 3: Cross multiply
    579.45x = 799.65 × 327.42
  4. Step 4: Simplify right side
    579.45x = 261,821.40
  5. Step 5: Solve for x
    x = 261,821.40/579.45
  6. Step 6: Final answer
    x = 451.84

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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.