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Finding the Fourth Proportional to 492.13, 738.20 and 396.55

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Solution

The fourth proportional to 492.13, 738.20 and 396.55 is: 594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.13 : 738.20 = 396.55 : x
  2. Step 2: Convert to fraction form
    492.13/738.20 = 396.55/x
  3. Step 3: Cross multiply
    492.13x = 738.20 × 396.55
  4. Step 4: Simplify right side
    492.13x = 292,733.21
  5. Step 5: Solve for x
    x = 292,733.21/492.13
  6. Step 6: Final answer
    x = 594.83

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