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Finding the Fourth Proportional to 330.46, 495.28 and 193.36

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Solution

The fourth proportional to 330.46, 495.28 and 193.36 is: 289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.46 : 495.28 = 193.36 : x
  2. Step 2: Convert to fraction form
    330.46/495.28 = 193.36/x
  3. Step 3: Cross multiply
    330.46x = 495.28 × 193.36
  4. Step 4: Simplify right side
    330.46x = 95,767.34
  5. Step 5: Solve for x
    x = 95,767.34/330.46
  6. Step 6: Final answer
    x = 289.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.