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Finding the Fourth Proportional to 692.64, 955.53 and 397.80

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Solution

The fourth proportional to 692.64, 955.53 and 397.80 is: 548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.64 : 955.53 = 397.80 : x
  2. Step 2: Convert to fraction form
    692.64/955.53 = 397.80/x
  3. Step 3: Cross multiply
    692.64x = 955.53 × 397.80
  4. Step 4: Simplify right side
    692.64x = 380,109.83
  5. Step 5: Solve for x
    x = 380,109.83/692.64
  6. Step 6: Final answer
    x = 548.78

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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.