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Finding the Fourth Proportional to 601.94, 902.43 and 382.34

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Solution

The fourth proportional to 601.94, 902.43 and 382.34 is: 573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.94 : 902.43 = 382.34 : x
  2. Step 2: Convert to fraction form
    601.94/902.43 = 382.34/x
  3. Step 3: Cross multiply
    601.94x = 902.43 × 382.34
  4. Step 4: Simplify right side
    601.94x = 345,035.09
  5. Step 5: Solve for x
    x = 345,035.09/601.94
  6. Step 6: Final answer
    x = 573.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.