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Finding the Fourth Proportional to 692.70, 955.91 and 377.95

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Solution

The fourth proportional to 692.70, 955.91 and 377.95 is: 521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.70 : 955.91 = 377.95 : x
  2. Step 2: Convert to fraction form
    692.70/955.91 = 377.95/x
  3. Step 3: Cross multiply
    692.70x = 955.91 × 377.95
  4. Step 4: Simplify right side
    692.70x = 361,286.18
  5. Step 5: Solve for x
    x = 361,286.18/692.70
  6. Step 6: Final answer
    x = 521.56

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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.