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Finding the Fourth Proportional to 598.54, 826.19 and 374.37

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Solution

The fourth proportional to 598.54, 826.19 and 374.37 is: 516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.54 : 826.19 = 374.37 : x
  2. Step 2: Convert to fraction form
    598.54/826.19 = 374.37/x
  3. Step 3: Cross multiply
    598.54x = 826.19 × 374.37
  4. Step 4: Simplify right side
    598.54x = 309,301.69
  5. Step 5: Solve for x
    x = 309,301.69/598.54
  6. Step 6: Final answer
    x = 516.76

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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.