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Finding the Fourth Proportional to 294.31, 440.87 and 201.46

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Solution

The fourth proportional to 294.31, 440.87 and 201.46 is: 301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.31 : 440.87 = 201.46 : x
  2. Step 2: Convert to fraction form
    294.31/440.87 = 201.46/x
  3. Step 3: Cross multiply
    294.31x = 440.87 × 201.46
  4. Step 4: Simplify right side
    294.31x = 88,817.67
  5. Step 5: Solve for x
    x = 88,817.67/294.31
  6. Step 6: Final answer
    x = 301.78

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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.