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Finding the Fourth Proportional to 531.75, 733.86 and 298.92

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Solution

The fourth proportional to 531.75, 733.86 and 298.92 is: 412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.75 : 733.86 = 298.92 : x
  2. Step 2: Convert to fraction form
    531.75/733.86 = 298.92/x
  3. Step 3: Cross multiply
    531.75x = 733.86 × 298.92
  4. Step 4: Simplify right side
    531.75x = 219,365.43
  5. Step 5: Solve for x
    x = 219,365.43/531.75
  6. Step 6: Final answer
    x = 412.53

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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.