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Finding the Fourth Proportional to 479.97, 720.33 and 343.14

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Solution

The fourth proportional to 479.97, 720.33 and 343.14 is: 514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.97 : 720.33 = 343.14 : x
  2. Step 2: Convert to fraction form
    479.97/720.33 = 343.14/x
  3. Step 3: Cross multiply
    479.97x = 720.33 × 343.14
  4. Step 4: Simplify right side
    479.97x = 247,174.04
  5. Step 5: Solve for x
    x = 247,174.04/479.97
  6. Step 6: Final answer
    x = 514.98

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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.