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Finding the Fourth Proportional to 591.34, 816.03 and 329.35

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Solution

The fourth proportional to 591.34, 816.03 and 329.35 is: 454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.34 : 816.03 = 329.35 : x
  2. Step 2: Convert to fraction form
    591.34/816.03 = 329.35/x
  3. Step 3: Cross multiply
    591.34x = 816.03 × 329.35
  4. Step 4: Simplify right side
    591.34x = 268,757.44
  5. Step 5: Solve for x
    x = 268,757.44/591.34
  6. Step 6: Final answer
    x = 454.49

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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.