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Finding the Fourth Proportional to 599.39, 826.96 and 389.83

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Solution

The fourth proportional to 599.39, 826.96 and 389.83 is: 537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.39 : 826.96 = 389.83 : x
  2. Step 2: Convert to fraction form
    599.39/826.96 = 389.83/x
  3. Step 3: Cross multiply
    599.39x = 826.96 × 389.83
  4. Step 4: Simplify right side
    599.39x = 322,373.82
  5. Step 5: Solve for x
    x = 322,373.82/599.39
  6. Step 6: Final answer
    x = 537.84

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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.