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Finding the Fourth Proportional to 462.26, 692.85 and 218.45

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Solution

The fourth proportional to 462.26, 692.85 and 218.45 is: 327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.26 : 692.85 = 218.45 : x
  2. Step 2: Convert to fraction form
    462.26/692.85 = 218.45/x
  3. Step 3: Cross multiply
    462.26x = 692.85 × 218.45
  4. Step 4: Simplify right side
    462.26x = 151,353.08
  5. Step 5: Solve for x
    x = 151,353.08/462.26
  6. Step 6: Final answer
    x = 327.42

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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.