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Finding the Fourth Proportional to 505.11, 755.84 and 298.97

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Solution

The fourth proportional to 505.11, 755.84 and 298.97 is: 447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.11 : 755.84 = 298.97 : x
  2. Step 2: Convert to fraction form
    505.11/755.84 = 298.97/x
  3. Step 3: Cross multiply
    505.11x = 755.84 × 298.97
  4. Step 4: Simplify right side
    505.11x = 225,973.48
  5. Step 5: Solve for x
    x = 225,973.48/505.11
  6. Step 6: Final answer
    x = 447.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.