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Finding the Fourth Proportional to 357.92, 493.26 and 270.44

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Solution

The fourth proportional to 357.92, 493.26 and 270.44 is: 372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.92 : 493.26 = 270.44 : x
  2. Step 2: Convert to fraction form
    357.92/493.26 = 270.44/x
  3. Step 3: Cross multiply
    357.92x = 493.26 × 270.44
  4. Step 4: Simplify right side
    357.92x = 133,397.23
  5. Step 5: Solve for x
    x = 133,397.23/357.92
  6. Step 6: Final answer
    x = 372.70

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