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Finding the Fourth Proportional to 539.43, 744.42 and 306.57

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Solution

The fourth proportional to 539.43, 744.42 and 306.57 is: 423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.43 : 744.42 = 306.57 : x
  2. Step 2: Convert to fraction form
    539.43/744.42 = 306.57/x
  3. Step 3: Cross multiply
    539.43x = 744.42 × 306.57
  4. Step 4: Simplify right side
    539.43x = 228,216.84
  5. Step 5: Solve for x
    x = 228,216.84/539.43
  6. Step 6: Final answer
    x = 423.07

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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.