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Finding the Fourth Proportional to 523.14, 720.09 and 375.54

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Solution

The fourth proportional to 523.14, 720.09 and 375.54 is: 516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.14 : 720.09 = 375.54 : x
  2. Step 2: Convert to fraction form
    523.14/720.09 = 375.54/x
  3. Step 3: Cross multiply
    523.14x = 720.09 × 375.54
  4. Step 4: Simplify right side
    523.14x = 270,422.60
  5. Step 5: Solve for x
    x = 270,422.60/523.14
  6. Step 6: Final answer
    x = 516.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.