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Finding the Fourth Proportional to 480.20, 663.06 and 333.32

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Solution

The fourth proportional to 480.20, 663.06 and 333.32 is: 460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.20 : 663.06 = 333.32 : x
  2. Step 2: Convert to fraction form
    480.20/663.06 = 333.32/x
  3. Step 3: Cross multiply
    480.20x = 663.06 × 333.32
  4. Step 4: Simplify right side
    480.20x = 221,011.16
  5. Step 5: Solve for x
    x = 221,011.16/480.20
  6. Step 6: Final answer
    x = 460.25

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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.