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Finding the Fourth Proportional to 462.14, 692.64 and 218.14

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Solution

The fourth proportional to 462.14, 692.64 and 218.14 is: 326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.14 : 692.64 = 218.14 : x
  2. Step 2: Convert to fraction form
    462.14/692.64 = 218.14/x
  3. Step 3: Cross multiply
    462.14x = 692.64 × 218.14
  4. Step 4: Simplify right side
    462.14x = 151,092.49
  5. Step 5: Solve for x
    x = 151,092.49/462.14
  6. Step 6: Final answer
    x = 326.94

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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.