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Finding the Fourth Proportional to 534.17, 737.07 and 298.09

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Solution

The fourth proportional to 534.17, 737.07 and 298.09 is: 411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.17 : 737.07 = 298.09 : x
  2. Step 2: Convert to fraction form
    534.17/737.07 = 298.09/x
  3. Step 3: Cross multiply
    534.17x = 737.07 × 298.09
  4. Step 4: Simplify right side
    534.17x = 219,711.37
  5. Step 5: Solve for x
    x = 219,711.37/534.17
  6. Step 6: Final answer
    x = 411.32

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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.