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Finding the Fourth Proportional to 436.46, 654.62 and 192.82

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Solution

The fourth proportional to 436.46, 654.62 and 192.82 is: 289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.46 : 654.62 = 192.82 : x
  2. Step 2: Convert to fraction form
    436.46/654.62 = 192.82/x
  3. Step 3: Cross multiply
    436.46x = 654.62 × 192.82
  4. Step 4: Simplify right side
    436.46x = 126,223.83
  5. Step 5: Solve for x
    x = 126,223.83/436.46
  6. Step 6: Final answer
    x = 289.20

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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.