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Finding the Fourth Proportional to 535.12, 738.44 and 327.76

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Solution

The fourth proportional to 535.12, 738.44 and 327.76 is: 452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.12 : 738.44 = 327.76 : x
  2. Step 2: Convert to fraction form
    535.12/738.44 = 327.76/x
  3. Step 3: Cross multiply
    535.12x = 738.44 × 327.76
  4. Step 4: Simplify right side
    535.12x = 242,031.09
  5. Step 5: Solve for x
    x = 242,031.09/535.12
  6. Step 6: Final answer
    x = 452.29

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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.