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Finding the Fourth Proportional to 594.59, 820.53 and 329.03

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Solution

The fourth proportional to 594.59, 820.53 and 329.03 is: 454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.59 : 820.53 = 329.03 : x
  2. Step 2: Convert to fraction form
    594.59/820.53 = 329.03/x
  3. Step 3: Cross multiply
    594.59x = 820.53 × 329.03
  4. Step 4: Simplify right side
    594.59x = 269,974.88
  5. Step 5: Solve for x
    x = 269,974.88/594.59
  6. Step 6: Final answer
    x = 454.05

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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.