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Finding the Fourth Proportional to 461.95, 692.78 and 201.94

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Solution

The fourth proportional to 461.95, 692.78 and 201.94 is: 302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.95 : 692.78 = 201.94 : x
  2. Step 2: Convert to fraction form
    461.95/692.78 = 201.94/x
  3. Step 3: Cross multiply
    461.95x = 692.78 × 201.94
  4. Step 4: Simplify right side
    461.95x = 139,897.25
  5. Step 5: Solve for x
    x = 139,897.25/461.95
  6. Step 6: Final answer
    x = 302.84

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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.