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Finding the Fourth Proportional to 692.33, 955.41 and 377.60

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Solution

The fourth proportional to 692.33, 955.41 and 377.60 is: 521.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.33 : 955.41 = 377.60 : x
  2. Step 2: Convert to fraction form
    692.33/955.41 = 377.60/x
  3. Step 3: Cross multiply
    692.33x = 955.41 × 377.60
  4. Step 4: Simplify right side
    692.33x = 360,758.04
  5. Step 5: Solve for x
    x = 360,758.04/692.33
  6. Step 6: Final answer
    x = 521.08

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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.