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Finding the Fourth Proportional to 618.21, 926.37 and 344.39

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Solution

The fourth proportional to 618.21, 926.37 and 344.39 is: 516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.21 : 926.37 = 344.39 : x
  2. Step 2: Convert to fraction form
    618.21/926.37 = 344.39/x
  3. Step 3: Cross multiply
    618.21x = 926.37 × 344.39
  4. Step 4: Simplify right side
    618.21x = 319,027.93
  5. Step 5: Solve for x
    x = 319,027.93/618.21
  6. Step 6: Final answer
    x = 516.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.