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Finding the Fourth Proportional to 394.50, 591.17 and 262.51

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Solution

The fourth proportional to 394.50, 591.17 and 262.51 is: 393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.50 : 591.17 = 262.51 : x
  2. Step 2: Convert to fraction form
    394.50/591.17 = 262.51/x
  3. Step 3: Cross multiply
    394.50x = 591.17 × 262.51
  4. Step 4: Simplify right side
    394.50x = 155,185.25
  5. Step 5: Solve for x
    x = 155,185.25/394.50
  6. Step 6: Final answer
    x = 393.37

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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.