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Finding the Fourth Proportional to 535.82, 739.22 and 325.92

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Solution

The fourth proportional to 535.82, 739.22 and 325.92 is: 449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.82 : 739.22 = 325.92 : x
  2. Step 2: Convert to fraction form
    535.82/739.22 = 325.92/x
  3. Step 3: Cross multiply
    535.82x = 739.22 × 325.92
  4. Step 4: Simplify right side
    535.82x = 240,924.95
  5. Step 5: Solve for x
    x = 240,924.95/535.82
  6. Step 6: Final answer
    x = 449.64

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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.