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Finding the Fourth Proportional to 486.00, 729.31 and 197.44

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Solution

The fourth proportional to 486.00, 729.31 and 197.44 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.00 : 729.31 = 197.44 : x
  2. Step 2: Convert to fraction form
    486.00/729.31 = 197.44/x
  3. Step 3: Cross multiply
    486.00x = 729.31 × 197.44
  4. Step 4: Simplify right side
    486.00x = 143,995.75
  5. Step 5: Solve for x
    x = 143,995.75/486.00
  6. Step 6: Final answer
    x = 296.29

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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.