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Finding the Fourth Proportional to 534.09, 797.31 and 452.04

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Solution

The fourth proportional to 534.09, 797.31 and 452.04 is: 674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.09 : 797.31 = 452.04 : x
  2. Step 2: Convert to fraction form
    534.09/797.31 = 452.04/x
  3. Step 3: Cross multiply
    534.09x = 797.31 × 452.04
  4. Step 4: Simplify right side
    534.09x = 360,416.01
  5. Step 5: Solve for x
    x = 360,416.01/534.09
  6. Step 6: Final answer
    x = 674.82

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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.