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Finding the Fourth Proportional to 478.46, 660.28 and 268.68

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Solution

The fourth proportional to 478.46, 660.28 and 268.68 is: 370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.46 : 660.28 = 268.68 : x
  2. Step 2: Convert to fraction form
    478.46/660.28 = 268.68/x
  3. Step 3: Cross multiply
    478.46x = 660.28 × 268.68
  4. Step 4: Simplify right side
    478.46x = 177,403.36
  5. Step 5: Solve for x
    x = 177,403.36/478.46
  6. Step 6: Final answer
    x = 370.78

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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.