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Finding the Fourth Proportional to 594.97, 821.07 and 329.42

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Solution

The fourth proportional to 594.97, 821.07 and 329.42 is: 454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.97 : 821.07 = 329.42 : x
  2. Step 2: Convert to fraction form
    594.97/821.07 = 329.42/x
  3. Step 3: Cross multiply
    594.97x = 821.07 × 329.42
  4. Step 4: Simplify right side
    594.97x = 270,478.93
  5. Step 5: Solve for x
    x = 270,478.93/594.97
  6. Step 6: Final answer
    x = 454.61

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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.