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Finding the Fourth Proportional to 462.43, 694.00 and 219.13

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Solution

The fourth proportional to 462.43, 694.00 and 219.13 is: 328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.43 : 694.00 = 219.13 : x
  2. Step 2: Convert to fraction form
    462.43/694.00 = 219.13/x
  3. Step 3: Cross multiply
    462.43x = 694.00 × 219.13
  4. Step 4: Simplify right side
    462.43x = 152,073.94
  5. Step 5: Solve for x
    x = 152,073.94/462.43
  6. Step 6: Final answer
    x = 328.86

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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.