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Finding the Fourth Proportional to 692.11, 954.94 and 412.16

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Solution

The fourth proportional to 692.11, 954.94 and 412.16 is: 568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.11 : 954.94 = 412.16 : x
  2. Step 2: Convert to fraction form
    692.11/954.94 = 412.16/x
  3. Step 3: Cross multiply
    692.11x = 954.94 × 412.16
  4. Step 4: Simplify right side
    692.11x = 393,586.01
  5. Step 5: Solve for x
    x = 393,586.01/692.11
  6. Step 6: Final answer
    x = 568.68

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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.