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Finding the Fourth Proportional to 461.23, 692.04 and 255.96

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Solution

The fourth proportional to 461.23, 692.04 and 255.96 is: 384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.23 : 692.04 = 255.96 : x
  2. Step 2: Convert to fraction form
    461.23/692.04 = 255.96/x
  3. Step 3: Cross multiply
    461.23x = 692.04 × 255.96
  4. Step 4: Simplify right side
    461.23x = 177,135.52
  5. Step 5: Solve for x
    x = 177,135.52/461.23
  6. Step 6: Final answer
    x = 384.05

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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.