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Finding the Fourth Proportional to 692.33, 955.11 and 455.97

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Solution

The fourth proportional to 692.33, 955.11 and 455.97 is: 629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.33 : 955.11 = 455.97 : x
  2. Step 2: Convert to fraction form
    692.33/955.11 = 455.97/x
  3. Step 3: Cross multiply
    692.33x = 955.11 × 455.97
  4. Step 4: Simplify right side
    692.33x = 435,499.23
  5. Step 5: Solve for x
    x = 435,499.23/692.33
  6. Step 6: Final answer
    x = 629.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.