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Finding the Fourth Proportional to 539.89, 745.11 and 306.97

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Solution

The fourth proportional to 539.89, 745.11 and 306.97 is: 423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.89 : 745.11 = 306.97 : x
  2. Step 2: Convert to fraction form
    539.89/745.11 = 306.97/x
  3. Step 3: Cross multiply
    539.89x = 745.11 × 306.97
  4. Step 4: Simplify right side
    539.89x = 228,723.46
  5. Step 5: Solve for x
    x = 228,723.46/539.89
  6. Step 6: Final answer
    x = 423.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.