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Finding the Fourth Proportional to 461.68, 692.82 and 218.23

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Solution

The fourth proportional to 461.68, 692.82 and 218.23 is: 327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.68 : 692.82 = 218.23 : x
  2. Step 2: Convert to fraction form
    461.68/692.82 = 218.23/x
  3. Step 3: Cross multiply
    461.68x = 692.82 × 218.23
  4. Step 4: Simplify right side
    461.68x = 151,192.38
  5. Step 5: Solve for x
    x = 151,192.38/461.68
  6. Step 6: Final answer
    x = 327.48

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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.