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Finding the Fourth Proportional to 363.78, 501.86 and 270.68

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Solution

The fourth proportional to 363.78, 501.86 and 270.68 is: 373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.78 : 501.86 = 270.68 : x
  2. Step 2: Convert to fraction form
    363.78/501.86 = 270.68/x
  3. Step 3: Cross multiply
    363.78x = 501.86 × 270.68
  4. Step 4: Simplify right side
    363.78x = 135,839.60
  5. Step 5: Solve for x
    x = 135,839.60/363.78
  6. Step 6: Final answer
    x = 373.41

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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.