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Finding the Fourth Proportional to 539.27, 744.14 and 303.16

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Solution

The fourth proportional to 539.27, 744.14 and 303.16 is: 418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.27 : 744.14 = 303.16 : x
  2. Step 2: Convert to fraction form
    539.27/744.14 = 303.16/x
  3. Step 3: Cross multiply
    539.27x = 744.14 × 303.16
  4. Step 4: Simplify right side
    539.27x = 225,596.49
  5. Step 5: Solve for x
    x = 225,596.49/539.27
  6. Step 6: Final answer
    x = 418.34

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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.