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Finding the Fourth Proportional to 480.28, 663.16 and 331.06

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Solution

The fourth proportional to 480.28, 663.16 and 331.06 is: 457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.28 : 663.16 = 331.06 : x
  2. Step 2: Convert to fraction form
    480.28/663.16 = 331.06/x
  3. Step 3: Cross multiply
    480.28x = 663.16 × 331.06
  4. Step 4: Simplify right side
    480.28x = 219,545.75
  5. Step 5: Solve for x
    x = 219,545.75/480.28
  6. Step 6: Final answer
    x = 457.12

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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.