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Finding the Fourth Proportional to 692.45, 955.58 and 397.70

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Solution

The fourth proportional to 692.45, 955.58 and 397.70 is: 548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.45 : 955.58 = 397.70 : x
  2. Step 2: Convert to fraction form
    692.45/955.58 = 397.70/x
  3. Step 3: Cross multiply
    692.45x = 955.58 × 397.70
  4. Step 4: Simplify right side
    692.45x = 380,034.17
  5. Step 5: Solve for x
    x = 380,034.17/692.45
  6. Step 6: Final answer
    x = 548.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.