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Finding the Fourth Proportional to 599.13, 826.75 and 337.09

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Solution

The fourth proportional to 599.13, 826.75 and 337.09 is: 465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.13 : 826.75 = 337.09 : x
  2. Step 2: Convert to fraction form
    599.13/826.75 = 337.09/x
  3. Step 3: Cross multiply
    599.13x = 826.75 × 337.09
  4. Step 4: Simplify right side
    599.13x = 278,689.16
  5. Step 5: Solve for x
    x = 278,689.16/599.13
  6. Step 6: Final answer
    x = 465.16

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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.