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Finding the Fourth Proportional to 505.51, 757.96 and 273.98

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Solution

The fourth proportional to 505.51, 757.96 and 273.98 is: 410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.51 : 757.96 = 273.98 : x
  2. Step 2: Convert to fraction form
    505.51/757.96 = 273.98/x
  3. Step 3: Cross multiply
    505.51x = 757.96 × 273.98
  4. Step 4: Simplify right side
    505.51x = 207,667.09
  5. Step 5: Solve for x
    x = 207,667.09/505.51
  6. Step 6: Final answer
    x = 410.81

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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.