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Finding the Fourth Proportional to 476.48, 713.34 and 270.68

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Solution

The fourth proportional to 476.48, 713.34 and 270.68 is: 405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.48 : 713.34 = 270.68 : x
  2. Step 2: Convert to fraction form
    476.48/713.34 = 270.68/x
  3. Step 3: Cross multiply
    476.48x = 713.34 × 270.68
  4. Step 4: Simplify right side
    476.48x = 193,086.87
  5. Step 5: Solve for x
    x = 193,086.87/476.48
  6. Step 6: Final answer
    x = 405.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.