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Finding the Fourth Proportional to 657.78, 986.79 and 273.06

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Solution

The fourth proportional to 657.78, 986.79 and 273.06 is: 409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.78 : 986.79 = 273.06 : x
  2. Step 2: Convert to fraction form
    657.78/986.79 = 273.06/x
  3. Step 3: Cross multiply
    657.78x = 986.79 × 273.06
  4. Step 4: Simplify right side
    657.78x = 269,452.88
  5. Step 5: Solve for x
    x = 269,452.88/657.78
  6. Step 6: Final answer
    x = 409.64

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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.