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Finding the Fourth Proportional to 601.36, 829.59 and 391.46

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Solution

The fourth proportional to 601.36, 829.59 and 391.46 is: 540.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.36 : 829.59 = 391.46 : x
  2. Step 2: Convert to fraction form
    601.36/829.59 = 391.46/x
  3. Step 3: Cross multiply
    601.36x = 829.59 × 391.46
  4. Step 4: Simplify right side
    601.36x = 324,747.97
  5. Step 5: Solve for x
    x = 324,747.97/601.36
  6. Step 6: Final answer
    x = 540.02

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