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Finding the Fourth Proportional to 692.26, 955.31 and 381.74

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Solution

The fourth proportional to 692.26, 955.31 and 381.74 is: 526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.26 : 955.31 = 381.74 : x
  2. Step 2: Convert to fraction form
    692.26/955.31 = 381.74/x
  3. Step 3: Cross multiply
    692.26x = 955.31 × 381.74
  4. Step 4: Simplify right side
    692.26x = 364,680.04
  5. Step 5: Solve for x
    x = 364,680.04/692.26
  6. Step 6: Final answer
    x = 526.80

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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.