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Finding the Fourth Proportional to 598.82, 826.32 and 350.20

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Solution

The fourth proportional to 598.82, 826.32 and 350.20 is: 483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.82 : 826.32 = 350.20 : x
  2. Step 2: Convert to fraction form
    598.82/826.32 = 350.20/x
  3. Step 3: Cross multiply
    598.82x = 826.32 × 350.20
  4. Step 4: Simplify right side
    598.82x = 289,377.26
  5. Step 5: Solve for x
    x = 289,377.26/598.82
  6. Step 6: Final answer
    x = 483.25

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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.