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Finding the Fourth Proportional to 579.87, 799.75 and 369.98

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Solution

The fourth proportional to 579.87, 799.75 and 369.98 is: 510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.87 : 799.75 = 369.98 : x
  2. Step 2: Convert to fraction form
    579.87/799.75 = 369.98/x
  3. Step 3: Cross multiply
    579.87x = 799.75 × 369.98
  4. Step 4: Simplify right side
    579.87x = 295,891.51
  5. Step 5: Solve for x
    x = 295,891.51/579.87
  6. Step 6: Final answer
    x = 510.27

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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.