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Finding the Fourth Proportional to 461.66, 692.48 and 333.21

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Solution

The fourth proportional to 461.66, 692.48 and 333.21 is: 499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.66 : 692.48 = 333.21 : x
  2. Step 2: Convert to fraction form
    461.66/692.48 = 333.21/x
  3. Step 3: Cross multiply
    461.66x = 692.48 × 333.21
  4. Step 4: Simplify right side
    461.66x = 230,739.59
  5. Step 5: Solve for x
    x = 230,739.59/461.66
  6. Step 6: Final answer
    x = 499.81

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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.