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Finding the Fourth Proportional to 504.70, 757.26 and 273.75

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Solution

The fourth proportional to 504.70, 757.26 and 273.75 is: 410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.70 : 757.26 = 273.75 : x
  2. Step 2: Convert to fraction form
    504.70/757.26 = 273.75/x
  3. Step 3: Cross multiply
    504.70x = 757.26 × 273.75
  4. Step 4: Simplify right side
    504.70x = 207,299.93
  5. Step 5: Solve for x
    x = 207,299.93/504.70
  6. Step 6: Final answer
    x = 410.74

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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.