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Finding the Fourth Proportional to 534.12, 804.95 and 482.82

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Solution

The fourth proportional to 534.12, 804.95 and 482.82 is: 727.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.12 : 804.95 = 482.82 : x
  2. Step 2: Convert to fraction form
    534.12/804.95 = 482.82/x
  3. Step 3: Cross multiply
    534.12x = 804.95 × 482.82
  4. Step 4: Simplify right side
    534.12x = 388,643.54
  5. Step 5: Solve for x
    x = 388,643.54/534.12
  6. Step 6: Final answer
    x = 727.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.