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Finding the Fourth Proportional to 579.20, 799.20 and 355.10

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Solution

The fourth proportional to 579.20, 799.20 and 355.10 is: 489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.20 : 799.20 = 355.10 : x
  2. Step 2: Convert to fraction form
    579.20/799.20 = 355.10/x
  3. Step 3: Cross multiply
    579.20x = 799.20 × 355.10
  4. Step 4: Simplify right side
    579.20x = 283,795.92
  5. Step 5: Solve for x
    x = 283,795.92/579.20
  6. Step 6: Final answer
    x = 489.98

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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.