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Finding the Fourth Proportional to 480.92, 663.21 and 340.79

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Solution

The fourth proportional to 480.92, 663.21 and 340.79 is: 469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.92 : 663.21 = 340.79 : x
  2. Step 2: Convert to fraction form
    480.92/663.21 = 340.79/x
  3. Step 3: Cross multiply
    480.92x = 663.21 × 340.79
  4. Step 4: Simplify right side
    480.92x = 226,015.34
  5. Step 5: Solve for x
    x = 226,015.34/480.92
  6. Step 6: Final answer
    x = 469.96

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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.