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Finding the Fourth Proportional to 461.90, 692.28 and 267.03

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Solution

The fourth proportional to 461.90, 692.28 and 267.03 is: 400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.90 : 692.28 = 267.03 : x
  2. Step 2: Convert to fraction form
    461.90/692.28 = 267.03/x
  3. Step 3: Cross multiply
    461.90x = 692.28 × 267.03
  4. Step 4: Simplify right side
    461.90x = 184,859.53
  5. Step 5: Solve for x
    x = 184,859.53/461.90
  6. Step 6: Final answer
    x = 400.21

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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.