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Finding the Fourth Proportional to 366.44, 505.61 and 209.04

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Solution

The fourth proportional to 366.44, 505.61 and 209.04 is: 288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.44 : 505.61 = 209.04 : x
  2. Step 2: Convert to fraction form
    366.44/505.61 = 209.04/x
  3. Step 3: Cross multiply
    366.44x = 505.61 × 209.04
  4. Step 4: Simplify right side
    366.44x = 105,692.71
  5. Step 5: Solve for x
    x = 105,692.71/366.44
  6. Step 6: Final answer
    x = 288.43

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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.