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Finding the Fourth Proportional to 692.72, 955.96 and 382.22

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Solution

The fourth proportional to 692.72, 955.96 and 382.22 is: 527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.72 : 955.96 = 382.22 : x
  2. Step 2: Convert to fraction form
    692.72/955.96 = 382.22/x
  3. Step 3: Cross multiply
    692.72x = 955.96 × 382.22
  4. Step 4: Simplify right side
    692.72x = 365,384.88
  5. Step 5: Solve for x
    x = 365,384.88/692.72
  6. Step 6: Final answer
    x = 527.46

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