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Finding the Fourth Proportional to 623.26, 859.81 and 399.09

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Solution

The fourth proportional to 623.26, 859.81 and 399.09 is: 550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.26 : 859.81 = 399.09 : x
  2. Step 2: Convert to fraction form
    623.26/859.81 = 399.09/x
  3. Step 3: Cross multiply
    623.26x = 859.81 × 399.09
  4. Step 4: Simplify right side
    623.26x = 343,139.58
  5. Step 5: Solve for x
    x = 343,139.58/623.26
  6. Step 6: Final answer
    x = 550.56

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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.