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Finding the Fourth Proportional to 679.30, 938.22 and 539.86

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Solution

The fourth proportional to 679.30, 938.22 and 539.86 is: 745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.30 : 938.22 = 539.86 : x
  2. Step 2: Convert to fraction form
    679.30/938.22 = 539.86/x
  3. Step 3: Cross multiply
    679.30x = 938.22 × 539.86
  4. Step 4: Simplify right side
    679.30x = 506,507.45
  5. Step 5: Solve for x
    x = 506,507.45/679.30
  6. Step 6: Final answer
    x = 745.63

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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.