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Finding the Fourth Proportional to 591.42, 816.17 and 329.43

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Solution

The fourth proportional to 591.42, 816.17 and 329.43 is: 454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.42 : 816.17 = 329.43 : x
  2. Step 2: Convert to fraction form
    591.42/816.17 = 329.43/x
  3. Step 3: Cross multiply
    591.42x = 816.17 × 329.43
  4. Step 4: Simplify right side
    591.42x = 268,870.88
  5. Step 5: Solve for x
    x = 268,870.88/591.42
  6. Step 6: Final answer
    x = 454.62

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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.