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Finding the Fourth Proportional to 692.92, 956.19 and 382.42

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Solution

The fourth proportional to 692.92, 956.19 and 382.42 is: 527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.92 : 956.19 = 382.42 : x
  2. Step 2: Convert to fraction form
    692.92/956.19 = 382.42/x
  3. Step 3: Cross multiply
    692.92x = 956.19 × 382.42
  4. Step 4: Simplify right side
    692.92x = 365,666.18
  5. Step 5: Solve for x
    x = 365,666.18/692.92
  6. Step 6: Final answer
    x = 527.72

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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.