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Finding the Fourth Proportional to 436.10, 654.32 and 192.46

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Solution

The fourth proportional to 436.10, 654.32 and 192.46 is: 288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.10 : 654.32 = 192.46 : x
  2. Step 2: Convert to fraction form
    436.10/654.32 = 192.46/x
  3. Step 3: Cross multiply
    436.10x = 654.32 × 192.46
  4. Step 4: Simplify right side
    436.10x = 125,930.43
  5. Step 5: Solve for x
    x = 125,930.43/436.10
  6. Step 6: Final answer
    x = 288.77

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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.