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Finding the Fourth Proportional to 462.99, 694.01 and 199.61

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Solution

The fourth proportional to 462.99, 694.01 and 199.61 is: 299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.99 : 694.01 = 199.61 : x
  2. Step 2: Convert to fraction form
    462.99/694.01 = 199.61/x
  3. Step 3: Cross multiply
    462.99x = 694.01 × 199.61
  4. Step 4: Simplify right side
    462.99x = 138,531.52
  5. Step 5: Solve for x
    x = 138,531.52/462.99
  6. Step 6: Final answer
    x = 299.21

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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.