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Finding the Fourth Proportional to 486.63, 729.86 and 198.09

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Solution

The fourth proportional to 486.63, 729.86 and 198.09 is: 297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.63 : 729.86 = 198.09 : x
  2. Step 2: Convert to fraction form
    486.63/729.86 = 198.09/x
  3. Step 3: Cross multiply
    486.63x = 729.86 × 198.09
  4. Step 4: Simplify right side
    486.63x = 144,576.98
  5. Step 5: Solve for x
    x = 144,576.98/486.63
  6. Step 6: Final answer
    x = 297.10

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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.