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Finding the Fourth Proportional to 531.44, 733.46 and 298.57

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Solution

The fourth proportional to 531.44, 733.46 and 298.57 is: 412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.44 : 733.46 = 298.57 : x
  2. Step 2: Convert to fraction form
    531.44/733.46 = 298.57/x
  3. Step 3: Cross multiply
    531.44x = 733.46 × 298.57
  4. Step 4: Simplify right side
    531.44x = 218,983.99
  5. Step 5: Solve for x
    x = 218,983.99/531.44
  6. Step 6: Final answer
    x = 412.06

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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.