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Finding the Fourth Proportional to 461.25, 692.19 and 204.75

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Solution

The fourth proportional to 461.25, 692.19 and 204.75 is: 307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.25 : 692.19 = 204.75 : x
  2. Step 2: Convert to fraction form
    461.25/692.19 = 204.75/x
  3. Step 3: Cross multiply
    461.25x = 692.19 × 204.75
  4. Step 4: Simplify right side
    461.25x = 141,725.90
  5. Step 5: Solve for x
    x = 141,725.90/461.25
  6. Step 6: Final answer
    x = 307.26

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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.