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Finding the Fourth Proportional to 480.69, 663.24 and 284.09

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Solution

The fourth proportional to 480.69, 663.24 and 284.09 is: 391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.69 : 663.24 = 284.09 : x
  2. Step 2: Convert to fraction form
    480.69/663.24 = 284.09/x
  3. Step 3: Cross multiply
    480.69x = 663.24 × 284.09
  4. Step 4: Simplify right side
    480.69x = 188,418.43
  5. Step 5: Solve for x
    x = 188,418.43/480.69
  6. Step 6: Final answer
    x = 391.98

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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.