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Finding the Fourth Proportional to 531.29, 733.17 and 298.41

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Solution

The fourth proportional to 531.29, 733.17 and 298.41 is: 411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.29 : 733.17 = 298.41 : x
  2. Step 2: Convert to fraction form
    531.29/733.17 = 298.41/x
  3. Step 3: Cross multiply
    531.29x = 733.17 × 298.41
  4. Step 4: Simplify right side
    531.29x = 218,785.26
  5. Step 5: Solve for x
    x = 218,785.26/531.29
  6. Step 6: Final answer
    x = 411.80

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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.