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Finding the Fourth Proportional to 540.85, 811.38 and 232.73

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Solution

The fourth proportional to 540.85, 811.38 and 232.73 is: 349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.85 : 811.38 = 232.73 : x
  2. Step 2: Convert to fraction form
    540.85/811.38 = 232.73/x
  3. Step 3: Cross multiply
    540.85x = 811.38 × 232.73
  4. Step 4: Simplify right side
    540.85x = 188,832.47
  5. Step 5: Solve for x
    x = 188,832.47/540.85
  6. Step 6: Final answer
    x = 349.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.