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Finding the Fourth Proportional to 462.70, 692.97 and 219.43

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Solution

The fourth proportional to 462.70, 692.97 and 219.43 is: 328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.70 : 692.97 = 219.43 : x
  2. Step 2: Convert to fraction form
    462.70/692.97 = 219.43/x
  3. Step 3: Cross multiply
    462.70x = 692.97 × 219.43
  4. Step 4: Simplify right side
    462.70x = 152,058.41
  5. Step 5: Solve for x
    x = 152,058.41/462.70
  6. Step 6: Final answer
    x = 328.63

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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.