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Finding the Fourth Proportional to 601.34, 828.90 and 391.41

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Solution

The fourth proportional to 601.34, 828.90 and 391.41 is: 539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.34 : 828.90 = 391.41 : x
  2. Step 2: Convert to fraction form
    601.34/828.90 = 391.41/x
  3. Step 3: Cross multiply
    601.34x = 828.90 × 391.41
  4. Step 4: Simplify right side
    601.34x = 324,439.75
  5. Step 5: Solve for x
    x = 324,439.75/601.34
  6. Step 6: Final answer
    x = 539.53

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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.