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Finding the Fourth Proportional to 599.08, 826.67 and 337.09

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Solution

The fourth proportional to 599.08, 826.67 and 337.09 is: 465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.08 : 826.67 = 337.09 : x
  2. Step 2: Convert to fraction form
    599.08/826.67 = 337.09/x
  3. Step 3: Cross multiply
    599.08x = 826.67 × 337.09
  4. Step 4: Simplify right side
    599.08x = 278,656.37
  5. Step 5: Solve for x
    x = 278,656.37/599.08
  6. Step 6: Final answer
    x = 465.14

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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.