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Finding the Fourth Proportional to 341.98, 512.07 and 273.64

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Solution

The fourth proportional to 341.98, 512.07 and 273.64 is: 409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.98 : 512.07 = 273.64 : x
  2. Step 2: Convert to fraction form
    341.98/512.07 = 273.64/x
  3. Step 3: Cross multiply
    341.98x = 512.07 × 273.64
  4. Step 4: Simplify right side
    341.98x = 140,122.02
  5. Step 5: Solve for x
    x = 140,122.02/341.98
  6. Step 6: Final answer
    x = 409.73

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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.