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Finding the Fourth Proportional to 534.03, 737 and 298

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Solution

The fourth proportional to 534.03, 737 and 298 is: 411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.03 : 737 = 298 : x
  2. Step 2: Convert to fraction form
    534.03/737 = 298/x
  3. Step 3: Cross multiply
    534.03x = 737 × 298
  4. Step 4: Simplify right side
    534.03x = 219,626
  5. Step 5: Solve for x
    x = 219,626/534.03
  6. Step 6: Final answer
    x = 411.26

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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.