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Finding the Fourth Proportional to 603.94, 905.17 and 344.16

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Solution

The fourth proportional to 603.94, 905.17 and 344.16 is: 515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.94 : 905.17 = 344.16 : x
  2. Step 2: Convert to fraction form
    603.94/905.17 = 344.16/x
  3. Step 3: Cross multiply
    603.94x = 905.17 × 344.16
  4. Step 4: Simplify right side
    603.94x = 311,523.31
  5. Step 5: Solve for x
    x = 311,523.31/603.94
  6. Step 6: Final answer
    x = 515.82

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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.