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Finding the Fourth Proportional to 541.53, 742.46 and 516.03

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Solution

The fourth proportional to 541.53, 742.46 and 516.03 is: 707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.53 : 742.46 = 516.03 : x
  2. Step 2: Convert to fraction form
    541.53/742.46 = 516.03/x
  3. Step 3: Cross multiply
    541.53x = 742.46 × 516.03
  4. Step 4: Simplify right side
    541.53x = 383,129.05
  5. Step 5: Solve for x
    x = 383,129.05/541.53
  6. Step 6: Final answer
    x = 707.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.