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Finding the Fourth Proportional to 534.49, 737.46 and 298.44

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Solution

The fourth proportional to 534.49, 737.46 and 298.44 is: 411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.49 : 737.46 = 298.44 : x
  2. Step 2: Convert to fraction form
    534.49/737.46 = 298.44/x
  3. Step 3: Cross multiply
    534.49x = 737.46 × 298.44
  4. Step 4: Simplify right side
    534.49x = 220,087.56
  5. Step 5: Solve for x
    x = 220,087.56/534.49
  6. Step 6: Final answer
    x = 411.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.