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Finding the Fourth Proportional to 357.75, 492.77 and 274.73

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Solution

The fourth proportional to 357.75, 492.77 and 274.73 is: 378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.75 : 492.77 = 274.73 : x
  2. Step 2: Convert to fraction form
    357.75/492.77 = 274.73/x
  3. Step 3: Cross multiply
    357.75x = 492.77 × 274.73
  4. Step 4: Simplify right side
    357.75x = 135,376.93
  5. Step 5: Solve for x
    x = 135,376.93/357.75
  6. Step 6: Final answer
    x = 378.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.