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Finding the Fourth Proportional to 492.80, 739.20 and 298.40

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Solution

The fourth proportional to 492.80, 739.20 and 298.40 is: 447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.80 : 739.20 = 298.40 : x
  2. Step 2: Convert to fraction form
    492.80/739.20 = 298.40/x
  3. Step 3: Cross multiply
    492.80x = 739.20 × 298.40
  4. Step 4: Simplify right side
    492.80x = 220,577.28
  5. Step 5: Solve for x
    x = 220,577.28/492.80
  6. Step 6: Final answer
    x = 447.60

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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.