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Finding the Fourth Proportional to 579.25, 799.62 and 369.70

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Solution

The fourth proportional to 579.25, 799.62 and 369.70 is: 510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.25 : 799.62 = 369.70 : x
  2. Step 2: Convert to fraction form
    579.25/799.62 = 369.70/x
  3. Step 3: Cross multiply
    579.25x = 799.62 × 369.70
  4. Step 4: Simplify right side
    579.25x = 295,619.51
  5. Step 5: Solve for x
    x = 295,619.51/579.25
  6. Step 6: Final answer
    x = 510.35

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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.