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Finding the Fourth Proportional to 297.31, 446.37 and 287.59

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Solution

The fourth proportional to 297.31, 446.37 and 287.59 is: 431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.31 : 446.37 = 287.59 : x
  2. Step 2: Convert to fraction form
    297.31/446.37 = 287.59/x
  3. Step 3: Cross multiply
    297.31x = 446.37 × 287.59
  4. Step 4: Simplify right side
    297.31x = 128,371.55
  5. Step 5: Solve for x
    x = 128,371.55/297.31
  6. Step 6: Final answer
    x = 431.78

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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.