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Finding the Fourth Proportional to 598.94, 826.26 and 350.27

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Solution

The fourth proportional to 598.94, 826.26 and 350.27 is: 483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.94 : 826.26 = 350.27 : x
  2. Step 2: Convert to fraction form
    598.94/826.26 = 350.27/x
  3. Step 3: Cross multiply
    598.94x = 826.26 × 350.27
  4. Step 4: Simplify right side
    598.94x = 289,414.09
  5. Step 5: Solve for x
    x = 289,414.09/598.94
  6. Step 6: Final answer
    x = 483.21

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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.