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Finding the Fourth Proportional to 492.54, 739.02 and 276.30

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Solution

The fourth proportional to 492.54, 739.02 and 276.30 is: 414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.54 : 739.02 = 276.30 : x
  2. Step 2: Convert to fraction form
    492.54/739.02 = 276.30/x
  3. Step 3: Cross multiply
    492.54x = 739.02 × 276.30
  4. Step 4: Simplify right side
    492.54x = 204,191.23
  5. Step 5: Solve for x
    x = 204,191.23/492.54
  6. Step 6: Final answer
    x = 414.57

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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.