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Finding the Fourth Proportional to 598.89, 826.41 and 350.17

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Solution

The fourth proportional to 598.89, 826.41 and 350.17 is: 483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.89 : 826.41 = 350.17 : x
  2. Step 2: Convert to fraction form
    598.89/826.41 = 350.17/x
  3. Step 3: Cross multiply
    598.89x = 826.41 × 350.17
  4. Step 4: Simplify right side
    598.89x = 289,383.99
  5. Step 5: Solve for x
    x = 289,383.99/598.89
  6. Step 6: Final answer
    x = 483.20

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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.