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Finding the Fourth Proportional to 538.62, 743.57 and 451.14

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Solution

The fourth proportional to 538.62, 743.57 and 451.14 is: 622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.62 : 743.57 = 451.14 : x
  2. Step 2: Convert to fraction form
    538.62/743.57 = 451.14/x
  3. Step 3: Cross multiply
    538.62x = 743.57 × 451.14
  4. Step 4: Simplify right side
    538.62x = 335,454.17
  5. Step 5: Solve for x
    x = 335,454.17/538.62
  6. Step 6: Final answer
    x = 622.80

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