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Finding the Fourth Proportional to 273.40, 409.32 and 208.65

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Solution

The fourth proportional to 273.40, 409.32 and 208.65 is: 312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.40 : 409.32 = 208.65 : x
  2. Step 2: Convert to fraction form
    273.40/409.32 = 208.65/x
  3. Step 3: Cross multiply
    273.40x = 409.32 × 208.65
  4. Step 4: Simplify right side
    273.40x = 85,404.62
  5. Step 5: Solve for x
    x = 85,404.62/273.40
  6. Step 6: Final answer
    x = 312.38

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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.