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Finding the Fourth Proportional to 354.82, 531.31 and 296.73

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Solution

The fourth proportional to 354.82, 531.31 and 296.73 is: 444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.82 : 531.31 = 296.73 : x
  2. Step 2: Convert to fraction form
    354.82/531.31 = 296.73/x
  3. Step 3: Cross multiply
    354.82x = 531.31 × 296.73
  4. Step 4: Simplify right side
    354.82x = 157,655.62
  5. Step 5: Solve for x
    x = 157,655.62/354.82
  6. Step 6: Final answer
    x = 444.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.