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Finding the Fourth Proportional to 461.67, 692.51 and 205.17

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Solution

The fourth proportional to 461.67, 692.51 and 205.17 is: 307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.67 : 692.51 = 205.17 : x
  2. Step 2: Convert to fraction form
    461.67/692.51 = 205.17/x
  3. Step 3: Cross multiply
    461.67x = 692.51 × 205.17
  4. Step 4: Simplify right side
    461.67x = 142,081.25
  5. Step 5: Solve for x
    x = 142,081.25/461.67
  6. Step 6: Final answer
    x = 307.76

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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.