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Finding the Fourth Proportional to 461.40, 692.06 and 204.90

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Solution

The fourth proportional to 461.40, 692.06 and 204.90 is: 307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.40 : 692.06 = 204.90 : x
  2. Step 2: Convert to fraction form
    461.40/692.06 = 204.90/x
  3. Step 3: Cross multiply
    461.40x = 692.06 × 204.90
  4. Step 4: Simplify right side
    461.40x = 141,803.09
  5. Step 5: Solve for x
    x = 141,803.09/461.40
  6. Step 6: Final answer
    x = 307.33

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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.