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Finding the Fourth Proportional to 538.96, 743.31 and 456.25

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Solution

The fourth proportional to 538.96, 743.31 and 456.25 is: 629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.96 : 743.31 = 456.25 : x
  2. Step 2: Convert to fraction form
    538.96/743.31 = 456.25/x
  3. Step 3: Cross multiply
    538.96x = 743.31 × 456.25
  4. Step 4: Simplify right side
    538.96x = 339,135.19
  5. Step 5: Solve for x
    x = 339,135.19/538.96
  6. Step 6: Final answer
    x = 629.24

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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.