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Finding the Fourth Proportional to 462.84, 694.61 and 219.37

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Solution

The fourth proportional to 462.84, 694.61 and 219.37 is: 329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.84 : 694.61 = 219.37 : x
  2. Step 2: Convert to fraction form
    462.84/694.61 = 219.37/x
  3. Step 3: Cross multiply
    462.84x = 694.61 × 219.37
  4. Step 4: Simplify right side
    462.84x = 152,376.05
  5. Step 5: Solve for x
    x = 152,376.05/462.84
  6. Step 6: Final answer
    x = 329.22

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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.