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Finding the Fourth Proportional to 579.26, 798.94 and 369.20

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Solution

The fourth proportional to 579.26, 798.94 and 369.20 is: 509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.26 : 798.94 = 369.20 : x
  2. Step 2: Convert to fraction form
    579.26/798.94 = 369.20/x
  3. Step 3: Cross multiply
    579.26x = 798.94 × 369.20
  4. Step 4: Simplify right side
    579.26x = 294,968.65
  5. Step 5: Solve for x
    x = 294,968.65/579.26
  6. Step 6: Final answer
    x = 509.22

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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.