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Finding the Fourth Proportional to 540.23, 810.36 and 449.56

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Solution

The fourth proportional to 540.23, 810.36 and 449.56 is: 674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.23 : 810.36 = 449.56 : x
  2. Step 2: Convert to fraction form
    540.23/810.36 = 449.56/x
  3. Step 3: Cross multiply
    540.23x = 810.36 × 449.56
  4. Step 4: Simplify right side
    540.23x = 364,306.45
  5. Step 5: Solve for x
    x = 364,306.45/540.23
  6. Step 6: Final answer
    x = 674.36

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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.