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Finding the Fourth Proportional to 540.21, 810.62 and 232.37

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Solution

The fourth proportional to 540.21, 810.62 and 232.37 is: 348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.21 : 810.62 = 232.37 : x
  2. Step 2: Convert to fraction form
    540.21/810.62 = 232.37/x
  3. Step 3: Cross multiply
    540.21x = 810.62 × 232.37
  4. Step 4: Simplify right side
    540.21x = 188,358.55
  5. Step 5: Solve for x
    x = 188,358.55/540.21
  6. Step 6: Final answer
    x = 348.68

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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.