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Finding the Fourth Proportional to 598.93, 826.34 and 350.22

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Solution

The fourth proportional to 598.93, 826.34 and 350.22 is: 483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.93 : 826.34 = 350.22 : x
  2. Step 2: Convert to fraction form
    598.93/826.34 = 350.22/x
  3. Step 3: Cross multiply
    598.93x = 826.34 × 350.22
  4. Step 4: Simplify right side
    598.93x = 289,403.62
  5. Step 5: Solve for x
    x = 289,403.62/598.93
  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.