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Finding the Fourth Proportional to 618.27, 851.67 and 431.43

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Solution

The fourth proportional to 618.27, 851.67 and 431.43 is: 594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.27 : 851.67 = 431.43 : x
  2. Step 2: Convert to fraction form
    618.27/851.67 = 431.43/x
  3. Step 3: Cross multiply
    618.27x = 851.67 × 431.43
  4. Step 4: Simplify right side
    618.27x = 367,435.99
  5. Step 5: Solve for x
    x = 367,435.99/618.27
  6. Step 6: Final answer
    x = 594.30

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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.