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Finding the Fourth Proportional to 599.31, 826.92 and 350.51

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Solution

The fourth proportional to 599.31, 826.92 and 350.51 is: 483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.31 : 826.92 = 350.51 : x
  2. Step 2: Convert to fraction form
    599.31/826.92 = 350.51/x
  3. Step 3: Cross multiply
    599.31x = 826.92 × 350.51
  4. Step 4: Simplify right side
    599.31x = 289,839.59
  5. Step 5: Solve for x
    x = 289,839.59/599.31
  6. Step 6: Final answer
    x = 483.62

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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.