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Finding the Fourth Proportional to 540.70, 811.05 and 232.36

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Solution

The fourth proportional to 540.70, 811.05 and 232.36 is: 348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.70 : 811.05 = 232.36 : x
  2. Step 2: Convert to fraction form
    540.70/811.05 = 232.36/x
  3. Step 3: Cross multiply
    540.70x = 811.05 × 232.36
  4. Step 4: Simplify right side
    540.70x = 188,453.55
  5. Step 5: Solve for x
    x = 188,453.55/540.70
  6. Step 6: Final answer
    x = 348.54

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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.