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Finding the Fourth Proportional to 692.72, 956 and 382.24

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Solution

The fourth proportional to 692.72, 956 and 382.24 is: 527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.72 : 956 = 382.24 : x
  2. Step 2: Convert to fraction form
    692.72/956 = 382.24/x
  3. Step 3: Cross multiply
    692.72x = 956 × 382.24
  4. Step 4: Simplify right side
    692.72x = 365,421.44
  5. Step 5: Solve for x
    x = 365,421.44/692.72
  6. Step 6: Final answer
    x = 527.52

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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.