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Finding the Fourth Proportional to 531.32, 733.19 and 298.44

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Solution

The fourth proportional to 531.32, 733.19 and 298.44 is: 411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.32 : 733.19 = 298.44 : x
  2. Step 2: Convert to fraction form
    531.32/733.19 = 298.44/x
  3. Step 3: Cross multiply
    531.32x = 733.19 × 298.44
  4. Step 4: Simplify right side
    531.32x = 218,811.73
  5. Step 5: Solve for x
    x = 218,811.73/531.32
  6. Step 6: Final answer
    x = 411.83

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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.