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Finding the Fourth Proportional to 539.37, 744.17 and 306.50

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Solution

The fourth proportional to 539.37, 744.17 and 306.50 is: 422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.37 : 744.17 = 306.50 : x
  2. Step 2: Convert to fraction form
    539.37/744.17 = 306.50/x
  3. Step 3: Cross multiply
    539.37x = 744.17 × 306.50
  4. Step 4: Simplify right side
    539.37x = 228,082.85
  5. Step 5: Solve for x
    x = 228,082.85/539.37
  6. Step 6: Final answer
    x = 422.87

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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.