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Finding the Fourth Proportional to 500.92, 692.21 and 361.46

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Solution

The fourth proportional to 500.92, 692.21 and 361.46 is: 499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.92 : 692.21 = 361.46 : x
  2. Step 2: Convert to fraction form
    500.92/692.21 = 361.46/x
  3. Step 3: Cross multiply
    500.92x = 692.21 × 361.46
  4. Step 4: Simplify right side
    500.92x = 250,208.86
  5. Step 5: Solve for x
    x = 250,208.86/500.92
  6. Step 6: Final answer
    x = 499.50

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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.