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Finding the Fourth Proportional to 538.44, 803.16 and 452.31

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Solution

The fourth proportional to 538.44, 803.16 and 452.31 is: 674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.44 : 803.16 = 452.31 : x
  2. Step 2: Convert to fraction form
    538.44/803.16 = 452.31/x
  3. Step 3: Cross multiply
    538.44x = 803.16 × 452.31
  4. Step 4: Simplify right side
    538.44x = 363,277.30
  5. Step 5: Solve for x
    x = 363,277.30/538.44
  6. Step 6: Final answer
    x = 674.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.