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Finding the Fourth Proportional to 522.56, 720.42 and 374.92

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Solution

The fourth proportional to 522.56, 720.42 and 374.92 is: 516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.56 : 720.42 = 374.92 : x
  2. Step 2: Convert to fraction form
    522.56/720.42 = 374.92/x
  3. Step 3: Cross multiply
    522.56x = 720.42 × 374.92
  4. Step 4: Simplify right side
    522.56x = 270,099.87
  5. Step 5: Solve for x
    x = 270,099.87/522.56
  6. Step 6: Final answer
    x = 516.88

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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.