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Finding the Fourth Proportional to 480.36, 662.96 and 294.02

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Solution

The fourth proportional to 480.36, 662.96 and 294.02 is: 405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.36 : 662.96 = 294.02 : x
  2. Step 2: Convert to fraction form
    480.36/662.96 = 294.02/x
  3. Step 3: Cross multiply
    480.36x = 662.96 × 294.02
  4. Step 4: Simplify right side
    480.36x = 194,918.71
  5. Step 5: Solve for x
    x = 194,918.71/480.36
  6. Step 6: Final answer
    x = 405.78

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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.