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Finding the Fourth Proportional to 599.09, 826.92 and 350.46

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Solution

The fourth proportional to 599.09, 826.92 and 350.46 is: 483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.09 : 826.92 = 350.46 : x
  2. Step 2: Convert to fraction form
    599.09/826.92 = 350.46/x
  3. Step 3: Cross multiply
    599.09x = 826.92 × 350.46
  4. Step 4: Simplify right side
    599.09x = 289,802.38
  5. Step 5: Solve for x
    x = 289,802.38/599.09
  6. Step 6: Final answer
    x = 483.74

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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.