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Finding the Fourth Proportional to 461.52, 692.28 and 218.52

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Solution

The fourth proportional to 461.52, 692.28 and 218.52 is: 327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.52 : 692.28 = 218.52 : x
  2. Step 2: Convert to fraction form
    461.52/692.28 = 218.52/x
  3. Step 3: Cross multiply
    461.52x = 692.28 × 218.52
  4. Step 4: Simplify right side
    461.52x = 151,277.03
  5. Step 5: Solve for x
    x = 151,277.03/461.52
  6. Step 6: Final answer
    x = 327.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.