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Finding the Fourth Proportional to 463.07, 694.67 and 189.20

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Solution

The fourth proportional to 463.07, 694.67 and 189.20 is: 283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.07 : 694.67 = 189.20 : x
  2. Step 2: Convert to fraction form
    463.07/694.67 = 189.20/x
  3. Step 3: Cross multiply
    463.07x = 694.67 × 189.20
  4. Step 4: Simplify right side
    463.07x = 131,431.56
  5. Step 5: Solve for x
    x = 131,431.56/463.07
  6. Step 6: Final answer
    x = 283.83

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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.