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Finding the Fourth Proportional to 599.15, 826.31 and 389.25

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Solution

The fourth proportional to 599.15, 826.31 and 389.25 is: 536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.15 : 826.31 = 389.25 : x
  2. Step 2: Convert to fraction form
    599.15/826.31 = 389.25/x
  3. Step 3: Cross multiply
    599.15x = 826.31 × 389.25
  4. Step 4: Simplify right side
    599.15x = 321,642.14
  5. Step 5: Solve for x
    x = 321,642.14/599.15
  6. Step 6: Final answer
    x = 536.83

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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.