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Finding the Fourth Proportional to 539.86, 744.97 and 303.79

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Solution

The fourth proportional to 539.86, 744.97 and 303.79 is: 419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.86 : 744.97 = 303.79 : x
  2. Step 2: Convert to fraction form
    539.86/744.97 = 303.79/x
  3. Step 3: Cross multiply
    539.86x = 744.97 × 303.79
  4. Step 4: Simplify right side
    539.86x = 226,314.44
  5. Step 5: Solve for x
    x = 226,314.44/539.86
  6. Step 6: Final answer
    x = 419.21

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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.