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Finding the Fourth Proportional to 531.31, 733.22 and 298.44

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Solution

The fourth proportional to 531.31, 733.22 and 298.44 is: 411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.31 : 733.22 = 298.44 : x
  2. Step 2: Convert to fraction form
    531.31/733.22 = 298.44/x
  3. Step 3: Cross multiply
    531.31x = 733.22 × 298.44
  4. Step 4: Simplify right side
    531.31x = 218,822.18
  5. Step 5: Solve for x
    x = 218,822.18/531.31
  6. Step 6: Final answer
    x = 411.85

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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.