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Finding the Fourth Proportional to 353.46, 532.65 and 327

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Solution

The fourth proportional to 353.46, 532.65 and 327 is: 492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.46 : 532.65 = 327 : x
  2. Step 2: Convert to fraction form
    353.46/532.65 = 327/x
  3. Step 3: Cross multiply
    353.46x = 532.65 × 327
  4. Step 4: Simplify right side
    353.46x = 174,176.55
  5. Step 5: Solve for x
    x = 174,176.55/353.46
  6. Step 6: Final answer
    x = 492.78

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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.