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Finding the Fourth Proportional to 598.97, 826.36 and 350.21

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Solution

The fourth proportional to 598.97, 826.36 and 350.21 is: 483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.97 : 826.36 = 350.21 : x
  2. Step 2: Convert to fraction form
    598.97/826.36 = 350.21/x
  3. Step 3: Cross multiply
    598.97x = 826.36 × 350.21
  4. Step 4: Simplify right side
    598.97x = 289,400.73
  5. Step 5: Solve for x
    x = 289,400.73/598.97
  6. Step 6: Final answer
    x = 483.16

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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.