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Finding the Fourth Proportional to 461.76, 692.16 and 205.44

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Solution

The fourth proportional to 461.76, 692.16 and 205.44 is: 307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.76 : 692.16 = 205.44 : x
  2. Step 2: Convert to fraction form
    461.76/692.16 = 205.44/x
  3. Step 3: Cross multiply
    461.76x = 692.16 × 205.44
  4. Step 4: Simplify right side
    461.76x = 142,197.35
  5. Step 5: Solve for x
    x = 142,197.35/461.76
  6. Step 6: Final answer
    x = 307.95

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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.