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Finding the Fourth Proportional to 692.56, 955.92 and 459.76

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Solution

The fourth proportional to 692.56, 955.92 and 459.76 is: 634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.56 : 955.92 = 459.76 : x
  2. Step 2: Convert to fraction form
    692.56/955.92 = 459.76/x
  3. Step 3: Cross multiply
    692.56x = 955.92 × 459.76
  4. Step 4: Simplify right side
    692.56x = 439,493.78
  5. Step 5: Solve for x
    x = 439,493.78/692.56
  6. Step 6: Final answer
    x = 634.59

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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.