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Finding the Fourth Proportional to 534.25, 737.31 and 298.23

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Solution

The fourth proportional to 534.25, 737.31 and 298.23 is: 411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.25 : 737.31 = 298.23 : x
  2. Step 2: Convert to fraction form
    534.25/737.31 = 298.23/x
  3. Step 3: Cross multiply
    534.25x = 737.31 × 298.23
  4. Step 4: Simplify right side
    534.25x = 219,887.96
  5. Step 5: Solve for x
    x = 219,887.96/534.25
  6. Step 6: Final answer
    x = 411.58

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