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Finding the Fourth Proportional to 436.32, 654.11 and 192.71

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Solution

The fourth proportional to 436.32, 654.11 and 192.71 is: 288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.32 : 654.11 = 192.71 : x
  2. Step 2: Convert to fraction form
    436.32/654.11 = 192.71/x
  3. Step 3: Cross multiply
    436.32x = 654.11 × 192.71
  4. Step 4: Simplify right side
    436.32x = 126,054.93
  5. Step 5: Solve for x
    x = 126,054.93/436.32
  6. Step 6: Final answer
    x = 288.90

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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.