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Finding the Fourth Proportional to 316.73, 472.80 and 273.67

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Solution

The fourth proportional to 316.73, 472.80 and 273.67 is: 408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.73 : 472.80 = 273.67 : x
  2. Step 2: Convert to fraction form
    316.73/472.80 = 273.67/x
  3. Step 3: Cross multiply
    316.73x = 472.80 × 273.67
  4. Step 4: Simplify right side
    316.73x = 129,390.49
  5. Step 5: Solve for x
    x = 129,390.49/316.73
  6. Step 6: Final answer
    x = 408.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.