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Finding the Fourth Proportional to 461.85, 692.03 and 323.29

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Solution

The fourth proportional to 461.85, 692.03 and 323.29 is: 484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.85 : 692.03 = 323.29 : x
  2. Step 2: Convert to fraction form
    461.85/692.03 = 323.29/x
  3. Step 3: Cross multiply
    461.85x = 692.03 × 323.29
  4. Step 4: Simplify right side
    461.85x = 223,722.92
  5. Step 5: Solve for x
    x = 223,722.92/461.85
  6. Step 6: Final answer
    x = 484.41

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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.