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Finding the Fourth Proportional to 531.73, 733.80 and 298.85

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Solution

The fourth proportional to 531.73, 733.80 and 298.85 is: 412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.73 : 733.80 = 298.85 : x
  2. Step 2: Convert to fraction form
    531.73/733.80 = 298.85/x
  3. Step 3: Cross multiply
    531.73x = 733.80 × 298.85
  4. Step 4: Simplify right side
    531.73x = 219,296.13
  5. Step 5: Solve for x
    x = 219,296.13/531.73
  6. Step 6: Final answer
    x = 412.42

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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.