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Finding the Fourth Proportional to 461.57, 692.31 and 201.44

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Solution

The fourth proportional to 461.57, 692.31 and 201.44 is: 302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.57 : 692.31 = 201.44 : x
  2. Step 2: Convert to fraction form
    461.57/692.31 = 201.44/x
  3. Step 3: Cross multiply
    461.57x = 692.31 × 201.44
  4. Step 4: Simplify right side
    461.57x = 139,458.93
  5. Step 5: Solve for x
    x = 139,458.93/461.57
  6. Step 6: Final answer
    x = 302.14

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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.