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Finding the Fourth Proportional to 579.62, 799.95 and 327.60

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Solution

The fourth proportional to 579.62, 799.95 and 327.60 is: 452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.62 : 799.95 = 327.60 : x
  2. Step 2: Convert to fraction form
    579.62/799.95 = 327.60/x
  3. Step 3: Cross multiply
    579.62x = 799.95 × 327.60
  4. Step 4: Simplify right side
    579.62x = 262,063.62
  5. Step 5: Solve for x
    x = 262,063.62/579.62
  6. Step 6: Final answer
    x = 452.13

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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.