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Finding the Fourth Proportional to 463.97, 696.02 and 189.98

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Solution

The fourth proportional to 463.97, 696.02 and 189.98 is: 285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.97 : 696.02 = 189.98 : x
  2. Step 2: Convert to fraction form
    463.97/696.02 = 189.98/x
  3. Step 3: Cross multiply
    463.97x = 696.02 × 189.98
  4. Step 4: Simplify right side
    463.97x = 132,229.88
  5. Step 5: Solve for x
    x = 132,229.88/463.97
  6. Step 6: Final answer
    x = 285.00

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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.