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Finding the Fourth Proportional to 461.60, 692.40 and 266.74

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Solution

The fourth proportional to 461.60, 692.40 and 266.74 is: 400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.60 : 692.40 = 266.74 : x
  2. Step 2: Convert to fraction form
    461.60/692.40 = 266.74/x
  3. Step 3: Cross multiply
    461.60x = 692.40 × 266.74
  4. Step 4: Simplify right side
    461.60x = 184,692.44
  5. Step 5: Solve for x
    x = 184,692.44/461.60
  6. Step 6: Final answer
    x = 400.11

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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.