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Finding the Fourth Proportional to 330.20, 475.68 and 330.20

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Solution

The fourth proportional to 330.20, 475.68 and 330.20 is: 475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.20 : 475.68 = 330.20 : x
  2. Step 2: Convert to fraction form
    330.20/475.68 = 330.20/x
  3. Step 3: Cross multiply
    330.20x = 475.68 × 330.20
  4. Step 4: Simplify right side
    330.20x = 157,069.54
  5. Step 5: Solve for x
    x = 157,069.54/330.20
  6. Step 6: Final answer
    x = 475.68

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.