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Finding the Fourth Proportional to 539.70, 744.78 and 306.82

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Solution

The fourth proportional to 539.70, 744.78 and 306.82 is: 423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.70 : 744.78 = 306.82 : x
  2. Step 2: Convert to fraction form
    539.70/744.78 = 306.82/x
  3. Step 3: Cross multiply
    539.70x = 744.78 × 306.82
  4. Step 4: Simplify right side
    539.70x = 228,513.40
  5. Step 5: Solve for x
    x = 228,513.40/539.70
  6. Step 6: Final answer
    x = 423.41

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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.