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Finding the Fourth Proportional to 594.90, 821.01 and 329.36

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Solution

The fourth proportional to 594.90, 821.01 and 329.36 is: 454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.90 : 821.01 = 329.36 : x
  2. Step 2: Convert to fraction form
    594.90/821.01 = 329.36/x
  3. Step 3: Cross multiply
    594.90x = 821.01 × 329.36
  4. Step 4: Simplify right side
    594.90x = 270,407.85
  5. Step 5: Solve for x
    x = 270,407.85/594.90
  6. Step 6: Final answer
    x = 454.54

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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.