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Finding the Fourth Proportional to 601.38, 829.62 and 391.56

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Solution

The fourth proportional to 601.38, 829.62 and 391.56 is: 540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.38 : 829.62 = 391.56 : x
  2. Step 2: Convert to fraction form
    601.38/829.62 = 391.56/x
  3. Step 3: Cross multiply
    601.38x = 829.62 × 391.56
  4. Step 4: Simplify right side
    601.38x = 324,846.01
  5. Step 5: Solve for x
    x = 324,846.01/601.38
  6. Step 6: Final answer
    x = 540.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.