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Finding the Fourth Proportional to 591.34, 816.06 and 329.36

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Solution

The fourth proportional to 591.34, 816.06 and 329.36 is: 454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.34 : 816.06 = 329.36 : x
  2. Step 2: Convert to fraction form
    591.34/816.06 = 329.36/x
  3. Step 3: Cross multiply
    591.34x = 816.06 × 329.36
  4. Step 4: Simplify right side
    591.34x = 268,777.52
  5. Step 5: Solve for x
    x = 268,777.52/591.34
  6. Step 6: Final answer
    x = 454.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.