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Finding the Fourth Proportional to 461.33, 692.12 and 201.38

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Solution

The fourth proportional to 461.33, 692.12 and 201.38 is: 302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.33 : 692.12 = 201.38 : x
  2. Step 2: Convert to fraction form
    461.33/692.12 = 201.38/x
  3. Step 3: Cross multiply
    461.33x = 692.12 × 201.38
  4. Step 4: Simplify right side
    461.33x = 139,379.85
  5. Step 5: Solve for x
    x = 139,379.85/461.33
  6. Step 6: Final answer
    x = 302.13

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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.