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Finding the Fourth Proportional to 692.01, 954.94 and 381.49

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Solution

The fourth proportional to 692.01, 954.94 and 381.49 is: 526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.01 : 954.94 = 381.49 : x
  2. Step 2: Convert to fraction form
    692.01/954.94 = 381.49/x
  3. Step 3: Cross multiply
    692.01x = 954.94 × 381.49
  4. Step 4: Simplify right side
    692.01x = 364,300.06
  5. Step 5: Solve for x
    x = 364,300.06/692.01
  6. Step 6: Final answer
    x = 526.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.