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Finding the Fourth Proportional to 540.65, 810.84 and 252.29

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Solution

The fourth proportional to 540.65, 810.84 and 252.29 is: 378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.65 : 810.84 = 252.29 : x
  2. Step 2: Convert to fraction form
    540.65/810.84 = 252.29/x
  3. Step 3: Cross multiply
    540.65x = 810.84 × 252.29
  4. Step 4: Simplify right side
    540.65x = 204,566.82
  5. Step 5: Solve for x
    x = 204,566.82/540.65
  6. Step 6: Final answer
    x = 378.37

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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.