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Finding the Fourth Proportional to 480.79, 721.13 and 206.84

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Solution

The fourth proportional to 480.79, 721.13 and 206.84 is: 310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.79 : 721.13 = 206.84 : x
  2. Step 2: Convert to fraction form
    480.79/721.13 = 206.84/x
  3. Step 3: Cross multiply
    480.79x = 721.13 × 206.84
  4. Step 4: Simplify right side
    480.79x = 149,157.76
  5. Step 5: Solve for x
    x = 149,157.76/480.79
  6. Step 6: Final answer
    x = 310.24

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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.