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Finding the Fourth Proportional to 273.78, 410.29 and 212.63

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Solution

The fourth proportional to 273.78, 410.29 and 212.63 is: 318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.78 : 410.29 = 212.63 : x
  2. Step 2: Convert to fraction form
    273.78/410.29 = 212.63/x
  3. Step 3: Cross multiply
    273.78x = 410.29 × 212.63
  4. Step 4: Simplify right side
    273.78x = 87,237.38
  5. Step 5: Solve for x
    x = 87,237.38/273.78
  6. Step 6: Final answer
    x = 318.64

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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.