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Finding the Fourth Proportional to 618.08, 851.49 and 431.22

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Solution

The fourth proportional to 618.08, 851.49 and 431.22 is: 594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.08 : 851.49 = 431.22 : x
  2. Step 2: Convert to fraction form
    618.08/851.49 = 431.22/x
  3. Step 3: Cross multiply
    618.08x = 851.49 × 431.22
  4. Step 4: Simplify right side
    618.08x = 367,182.71
  5. Step 5: Solve for x
    x = 367,182.71/618.08
  6. Step 6: Final answer
    x = 594.07

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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.