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Finding the Fourth Proportional to 601.10, 828.94 and 391.34

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Solution

The fourth proportional to 601.10, 828.94 and 391.34 is: 539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.10 : 828.94 = 391.34 : x
  2. Step 2: Convert to fraction form
    601.10/828.94 = 391.34/x
  3. Step 3: Cross multiply
    601.10x = 828.94 × 391.34
  4. Step 4: Simplify right side
    601.10x = 324,392.26
  5. Step 5: Solve for x
    x = 324,392.26/601.10
  6. Step 6: Final answer
    x = 539.66

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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.