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Finding the Fourth Proportional to 538.33, 744.24 and 455.25

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Solution

The fourth proportional to 538.33, 744.24 and 455.25 is: 629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.33 : 744.24 = 455.25 : x
  2. Step 2: Convert to fraction form
    538.33/744.24 = 455.25/x
  3. Step 3: Cross multiply
    538.33x = 744.24 × 455.25
  4. Step 4: Simplify right side
    538.33x = 338,817.20
  5. Step 5: Solve for x
    x = 338,817.20/538.33
  6. Step 6: Final answer
    x = 629.39

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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.