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Finding the Fourth Proportional to 657.78, 987.12 and 273.04

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Solution

The fourth proportional to 657.78, 987.12 and 273.04 is: 409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.78 : 987.12 = 273.04 : x
  2. Step 2: Convert to fraction form
    657.78/987.12 = 273.04/x
  3. Step 3: Cross multiply
    657.78x = 987.12 × 273.04
  4. Step 4: Simplify right side
    657.78x = 269,523.24
  5. Step 5: Solve for x
    x = 269,523.24/657.78
  6. Step 6: Final answer
    x = 409.75

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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.