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Finding the Fourth Proportional to 613.26, 919.31 and 393.21

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Solution

The fourth proportional to 613.26, 919.31 and 393.21 is: 589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.26 : 919.31 = 393.21 : x
  2. Step 2: Convert to fraction form
    613.26/919.31 = 393.21/x
  3. Step 3: Cross multiply
    613.26x = 919.31 × 393.21
  4. Step 4: Simplify right side
    613.26x = 361,479.92
  5. Step 5: Solve for x
    x = 361,479.92/613.26
  6. Step 6: Final answer
    x = 589.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.