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Finding the Fourth Proportional to 436.46, 654.08 and 254.21

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Solution

The fourth proportional to 436.46, 654.08 and 254.21 is: 380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.46 : 654.08 = 254.21 : x
  2. Step 2: Convert to fraction form
    436.46/654.08 = 254.21/x
  3. Step 3: Cross multiply
    436.46x = 654.08 × 254.21
  4. Step 4: Simplify right side
    436.46x = 166,269.14
  5. Step 5: Solve for x
    x = 166,269.14/436.46
  6. Step 6: Final answer
    x = 380.95

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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.