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Finding the Fourth Proportional to 492.30, 738.81 and 327.78

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Solution

The fourth proportional to 492.30, 738.81 and 327.78 is: 491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.30 : 738.81 = 327.78 : x
  2. Step 2: Convert to fraction form
    492.30/738.81 = 327.78/x
  3. Step 3: Cross multiply
    492.30x = 738.81 × 327.78
  4. Step 4: Simplify right side
    492.30x = 242,167.14
  5. Step 5: Solve for x
    x = 242,167.14/492.30
  6. Step 6: Final answer
    x = 491.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.