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Finding the Fourth Proportional to 480.64, 663.30 and 294.23

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Solution

The fourth proportional to 480.64, 663.30 and 294.23 is: 406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.64 : 663.30 = 294.23 : x
  2. Step 2: Convert to fraction form
    480.64/663.30 = 294.23/x
  3. Step 3: Cross multiply
    480.64x = 663.30 × 294.23
  4. Step 4: Simplify right side
    480.64x = 195,162.97
  5. Step 5: Solve for x
    x = 195,162.97/480.64
  6. Step 6: Final answer
    x = 406.05

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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.