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Finding the Fourth Proportional to 357.44, 492.96 and 274.34

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Solution

The fourth proportional to 357.44, 492.96 and 274.34 is: 378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.44 : 492.96 = 274.34 : x
  2. Step 2: Convert to fraction form
    357.44/492.96 = 274.34/x
  3. Step 3: Cross multiply
    357.44x = 492.96 × 274.34
  4. Step 4: Simplify right side
    357.44x = 135,238.65
  5. Step 5: Solve for x
    x = 135,238.65/357.44
  6. Step 6: Final answer
    x = 378.35

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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.