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Finding the Fourth Proportional to 603.64, 905.46 and 192.97

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Solution

The fourth proportional to 603.64, 905.46 and 192.97 is: 289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.64 : 905.46 = 192.97 : x
  2. Step 2: Convert to fraction form
    603.64/905.46 = 192.97/x
  3. Step 3: Cross multiply
    603.64x = 905.46 × 192.97
  4. Step 4: Simplify right side
    603.64x = 174,721.12
  5. Step 5: Solve for x
    x = 174,721.12/603.64
  6. Step 6: Final answer
    x = 289.45

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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.