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Finding the Fourth Proportional to 692.31, 955.39 and 381.81

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Solution

The fourth proportional to 692.31, 955.39 and 381.81 is: 526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.31 : 955.39 = 381.81 : x
  2. Step 2: Convert to fraction form
    692.31/955.39 = 381.81/x
  3. Step 3: Cross multiply
    692.31x = 955.39 × 381.81
  4. Step 4: Simplify right side
    692.31x = 364,777.46
  5. Step 5: Solve for x
    x = 364,777.46/692.31
  6. Step 6: Final answer
    x = 526.90

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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.