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Finding the Fourth Proportional to 478.80, 660.46 and 282.27

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Solution

The fourth proportional to 478.80, 660.46 and 282.27 is: 389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.80 : 660.46 = 282.27 : x
  2. Step 2: Convert to fraction form
    478.80/660.46 = 282.27/x
  3. Step 3: Cross multiply
    478.80x = 660.46 × 282.27
  4. Step 4: Simplify right side
    478.80x = 186,428.04
  5. Step 5: Solve for x
    x = 186,428.04/478.80
  6. Step 6: Final answer
    x = 389.37

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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.