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Finding the Fourth Proportional to 692.63, 955.31 and 490.66

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Solution

The fourth proportional to 692.63, 955.31 and 490.66 is: 676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.63 : 955.31 = 490.66 : x
  2. Step 2: Convert to fraction form
    692.63/955.31 = 490.66/x
  3. Step 3: Cross multiply
    692.63x = 955.31 × 490.66
  4. Step 4: Simplify right side
    692.63x = 468,732.40
  5. Step 5: Solve for x
    x = 468,732.40/692.63
  6. Step 6: Final answer
    x = 676.74

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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.