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Finding the Fourth Proportional to 410.45, 617.01 and 380.37

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Solution

The fourth proportional to 410.45, 617.01 and 380.37 is: 571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.45 : 617.01 = 380.37 : x
  2. Step 2: Convert to fraction form
    410.45/617.01 = 380.37/x
  3. Step 3: Cross multiply
    410.45x = 617.01 × 380.37
  4. Step 4: Simplify right side
    410.45x = 234,692.09
  5. Step 5: Solve for x
    x = 234,692.09/410.45
  6. Step 6: Final answer
    x = 571.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.