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Finding the Fourth Proportional to 599.20, 826.77 and 389.65

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Solution

The fourth proportional to 599.20, 826.77 and 389.65 is: 537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.20 : 826.77 = 389.65 : x
  2. Step 2: Convert to fraction form
    599.20/826.77 = 389.65/x
  3. Step 3: Cross multiply
    599.20x = 826.77 × 389.65
  4. Step 4: Simplify right side
    599.20x = 322,150.93
  5. Step 5: Solve for x
    x = 322,150.93/599.20
  6. Step 6: Final answer
    x = 537.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.