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Finding the Fourth Proportional to 534.26, 736.94 and 409.73

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Solution

The fourth proportional to 534.26, 736.94 and 409.73 is: 565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.26 : 736.94 = 409.73 : x
  2. Step 2: Convert to fraction form
    534.26/736.94 = 409.73/x
  3. Step 3: Cross multiply
    534.26x = 736.94 × 409.73
  4. Step 4: Simplify right side
    534.26x = 301,940.69
  5. Step 5: Solve for x
    x = 301,940.69/534.26
  6. Step 6: Final answer
    x = 565.16

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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.