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Finding the Fourth Proportional to 461.46, 692.22 and 266.34

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Solution

The fourth proportional to 461.46, 692.22 and 266.34 is: 399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.46 : 692.22 = 266.34 : x
  2. Step 2: Convert to fraction form
    461.46/692.22 = 266.34/x
  3. Step 3: Cross multiply
    461.46x = 692.22 × 266.34
  4. Step 4: Simplify right side
    461.46x = 184,365.87
  5. Step 5: Solve for x
    x = 184,365.87/461.46
  6. Step 6: Final answer
    x = 399.53

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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.