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Finding the Fourth Proportional to 600.91, 829.17 and 335.31

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Solution

The fourth proportional to 600.91, 829.17 and 335.31 is: 462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.91 : 829.17 = 335.31 : x
  2. Step 2: Convert to fraction form
    600.91/829.17 = 335.31/x
  3. Step 3: Cross multiply
    600.91x = 829.17 × 335.31
  4. Step 4: Simplify right side
    600.91x = 278,030.25
  5. Step 5: Solve for x
    x = 278,030.25/600.91
  6. Step 6: Final answer
    x = 462.68

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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.