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Finding the Fourth Proportional to 461.54, 692.37 and 218.12

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Solution

The fourth proportional to 461.54, 692.37 and 218.12 is: 327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.54 : 692.37 = 218.12 : x
  2. Step 2: Convert to fraction form
    461.54/692.37 = 218.12/x
  3. Step 3: Cross multiply
    461.54x = 692.37 × 218.12
  4. Step 4: Simplify right side
    461.54x = 151,019.74
  5. Step 5: Solve for x
    x = 151,019.74/461.54
  6. Step 6: Final answer
    x = 327.21

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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.