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Finding the Fourth Proportional to 480.94, 663.80 and 284.56

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Solution

The fourth proportional to 480.94, 663.80 and 284.56 is: 392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.94 : 663.80 = 284.56 : x
  2. Step 2: Convert to fraction form
    480.94/663.80 = 284.56/x
  3. Step 3: Cross multiply
    480.94x = 663.80 × 284.56
  4. Step 4: Simplify right side
    480.94x = 188,890.93
  5. Step 5: Solve for x
    x = 188,890.93/480.94
  6. Step 6: Final answer
    x = 392.75

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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.