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Finding the Fourth Proportional to 461.72, 692.70 and 205.28

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Solution

The fourth proportional to 461.72, 692.70 and 205.28 is: 307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.72 : 692.70 = 205.28 : x
  2. Step 2: Convert to fraction form
    461.72/692.70 = 205.28/x
  3. Step 3: Cross multiply
    461.72x = 692.70 × 205.28
  4. Step 4: Simplify right side
    461.72x = 142,197.46
  5. Step 5: Solve for x
    x = 142,197.46/461.72
  6. Step 6: Final answer
    x = 307.97

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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.