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Finding the Fourth Proportional to 539.22, 744.09 and 318.20

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Solution

The fourth proportional to 539.22, 744.09 and 318.20 is: 439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.22 : 744.09 = 318.20 : x
  2. Step 2: Convert to fraction form
    539.22/744.09 = 318.20/x
  3. Step 3: Cross multiply
    539.22x = 744.09 × 318.20
  4. Step 4: Simplify right side
    539.22x = 236,764.52
  5. Step 5: Solve for x
    x = 236,764.52/539.22
  6. Step 6: Final answer
    x = 439.08

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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.