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Finding the Fourth Proportional to 540.66, 810.31 and 232.44

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Solution

The fourth proportional to 540.66, 810.31 and 232.44 is: 348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.66 : 810.31 = 232.44 : x
  2. Step 2: Convert to fraction form
    540.66/810.31 = 232.44/x
  3. Step 3: Cross multiply
    540.66x = 810.31 × 232.44
  4. Step 4: Simplify right side
    540.66x = 188,348.46
  5. Step 5: Solve for x
    x = 188,348.46/540.66
  6. Step 6: Final answer
    x = 348.37

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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.