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Finding the Fourth Proportional to 591.34, 816.02 and 329.30

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Solution

The fourth proportional to 591.34, 816.02 and 329.30 is: 454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.34 : 816.02 = 329.30 : x
  2. Step 2: Convert to fraction form
    591.34/816.02 = 329.30/x
  3. Step 3: Cross multiply
    591.34x = 816.02 × 329.30
  4. Step 4: Simplify right side
    591.34x = 268,715.39
  5. Step 5: Solve for x
    x = 268,715.39/591.34
  6. Step 6: Final answer
    x = 454.42

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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.