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Finding the Fourth Proportional to 692.67, 955.84 and 382.17

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Solution

The fourth proportional to 692.67, 955.84 and 382.17 is: 527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.67 : 955.84 = 382.17 : x
  2. Step 2: Convert to fraction form
    692.67/955.84 = 382.17/x
  3. Step 3: Cross multiply
    692.67x = 955.84 × 382.17
  4. Step 4: Simplify right side
    692.67x = 365,293.37
  5. Step 5: Solve for x
    x = 365,293.37/692.67
  6. Step 6: Final answer
    x = 527.37

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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.