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Finding the Fourth Proportional to 692.46, 955.65 and 397.74

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Solution

The fourth proportional to 692.46, 955.65 and 397.74 is: 548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.46 : 955.65 = 397.74 : x
  2. Step 2: Convert to fraction form
    692.46/955.65 = 397.74/x
  3. Step 3: Cross multiply
    692.46x = 955.65 × 397.74
  4. Step 4: Simplify right side
    692.46x = 380,100.23
  5. Step 5: Solve for x
    x = 380,100.23/692.46
  6. Step 6: Final answer
    x = 548.91

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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.