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Finding the Fourth Proportional to 692.63, 955.82 and 382.13

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Solution

The fourth proportional to 692.63, 955.82 and 382.13 is: 527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.63 : 955.82 = 382.13 : x
  2. Step 2: Convert to fraction form
    692.63/955.82 = 382.13/x
  3. Step 3: Cross multiply
    692.63x = 955.82 × 382.13
  4. Step 4: Simplify right side
    692.63x = 365,243.67
  5. Step 5: Solve for x
    x = 365,243.67/692.63
  6. Step 6: Final answer
    x = 527.33

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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.