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Finding the Fourth Proportional to 603.75, 905.78 and 344.05

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Solution

The fourth proportional to 603.75, 905.78 and 344.05 is: 516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.75 : 905.78 = 344.05 : x
  2. Step 2: Convert to fraction form
    603.75/905.78 = 344.05/x
  3. Step 3: Cross multiply
    603.75x = 905.78 × 344.05
  4. Step 4: Simplify right side
    603.75x = 311,632.20
  5. Step 5: Solve for x
    x = 311,632.20/603.75
  6. Step 6: Final answer
    x = 516.16

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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.