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Finding the Fourth Proportional to 601.33, 829.21 and 423.97

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Solution

The fourth proportional to 601.33, 829.21 and 423.97 is: 584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.33 : 829.21 = 423.97 : x
  2. Step 2: Convert to fraction form
    601.33/829.21 = 423.97/x
  3. Step 3: Cross multiply
    601.33x = 829.21 × 423.97
  4. Step 4: Simplify right side
    601.33x = 351,560.16
  5. Step 5: Solve for x
    x = 351,560.16/601.33
  6. Step 6: Final answer
    x = 584.64

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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.