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Finding the Fourth Proportional to 534.20, 737.19 and 298.19

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Solution

The fourth proportional to 534.20, 737.19 and 298.19 is: 411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.20 : 737.19 = 298.19 : x
  2. Step 2: Convert to fraction form
    534.20/737.19 = 298.19/x
  3. Step 3: Cross multiply
    534.20x = 737.19 × 298.19
  4. Step 4: Simplify right side
    534.20x = 219,822.69
  5. Step 5: Solve for x
    x = 219,822.69/534.20
  6. Step 6: Final answer
    x = 411.50

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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.