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Finding the Fourth Proportional to 495.09, 682.88 and 329.22

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Solution

The fourth proportional to 495.09, 682.88 and 329.22 is: 454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.09 : 682.88 = 329.22 : x
  2. Step 2: Convert to fraction form
    495.09/682.88 = 329.22/x
  3. Step 3: Cross multiply
    495.09x = 682.88 × 329.22
  4. Step 4: Simplify right side
    495.09x = 224,816.11
  5. Step 5: Solve for x
    x = 224,816.11/495.09
  6. Step 6: Final answer
    x = 454.09

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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.